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Simplifying 3x + 4(2x + -1) + 2 = 7x + -1s(4x + -3) + 4x Reorder the terms: 3x + 4(-1 + 2x) + 2 = 7x + -1s(4x + -3) + 4x 3x + (-1 * 4 + 2x * 4) + 2 = 7x + -1s(4x + -3) + 4x 3x + (-4 + 8x) + 2 = 7x + -1s(4x + -3) + 4x Reorder the terms: -4 + 2 + 3x + 8x = 7x + -1s(4x + -3) + 4x Combine like terms: -4 + 2 = -2 -2 + 3x + 8x = 7x + -1s(4x + -3) + 4x Combine like terms: 3x + 8x = 11x -2 + 11x = 7x + -1s(4x + -3) + 4x Reorder the terms: -2 + 11x = 7x + -1s(-3 + 4x) + 4x -2 + 11x = 7x + (-3 * -1s + 4x * -1s) + 4x -2 + 11x = 7x + (3s + -4sx) + 4x Reorder the terms: -2 + 11x = 3s + -4sx + 7x + 4x Combine like terms: 7x + 4x = 11x -2 + 11x = 3s + -4sx + 11x Add '-11x' to each side of the equation. -2 + 11x + -11x = 3s + -4sx + 11x + -11x Combine like terms: 11x + -11x = 0 -2 + 0 = 3s + -4sx + 11x + -11x -2 = 3s + -4sx + 11x + -11x Combine like terms: 11x + -11x = 0 -2 = 3s + -4sx + 0 -2 = 3s + -4sx Solving -2 = 3s + -4sx Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-3s' to each side of the equation. -2 + -3s = 3s + -3s + -4sx Combine like terms: 3s + -3s = 0 -2 + -3s = 0 + -4sx -2 + -3s = -4sx Add '4sx' to each side of the equation. -2 + -3s + 4sx = -4sx + 4sx Combine like terms: -4sx + 4sx = 0 -2 + -3s + 4sx = 0 Add '2' to each side of the equation. -2 + -3s + 2 + 4sx = 0 + 2 Reorder the terms: -2 + 2 + -3s + 4sx = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -3s + 4sx = 0 + 2 -3s + 4sx = 0 + 2 Combine like terms: 0 + 2 = 2 -3s + 4sx = 2 Reorder the terms: -2 + -3s + 4sx = 2 + -2 Combine like terms: 2 + -2 = 0 -2 + -3s + 4sx = 0 The solution to this equation could not be determined.
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