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Simplifying 3(x + -1) + 4(2x + 1) + -5(3x) = -1(2 + x) Reorder the terms: 3(-1 + x) + 4(2x + 1) + -5(3x) = -1(2 + x) (-1 * 3 + x * 3) + 4(2x + 1) + -5(3x) = -1(2 + x) (-3 + 3x) + 4(2x + 1) + -5(3x) = -1(2 + x) Reorder the terms: -3 + 3x + 4(1 + 2x) + -5(3x) = -1(2 + x) -3 + 3x + (1 * 4 + 2x * 4) + -5(3x) = -1(2 + x) -3 + 3x + (4 + 8x) + -5(3x) = -1(2 + x) Remove parenthesis around (3x) -3 + 3x + 4 + 8x + -5 * 3x = -1(2 + x) Multiply -5 * 3 -3 + 3x + 4 + 8x + -15x = -1(2 + x) Reorder the terms: -3 + 4 + 3x + 8x + -15x = -1(2 + x) Combine like terms: -3 + 4 = 1 1 + 3x + 8x + -15x = -1(2 + x) Combine like terms: 3x + 8x = 11x 1 + 11x + -15x = -1(2 + x) Combine like terms: 11x + -15x = -4x 1 + -4x = -1(2 + x) 1 + -4x = (2 * -1 + x * -1) 1 + -4x = (-2 + -1x) Solving 1 + -4x = -2 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 1 + -4x + x = -2 + -1x + x Combine like terms: -4x + x = -3x 1 + -3x = -2 + -1x + x Combine like terms: -1x + x = 0 1 + -3x = -2 + 0 1 + -3x = -2 Add '-1' to each side of the equation. 1 + -1 + -3x = -2 + -1 Combine like terms: 1 + -1 = 0 0 + -3x = -2 + -1 -3x = -2 + -1 Combine like terms: -2 + -1 = -3 -3x = -3 Divide each side by '-3'. x = 1 Simplifying x = 1
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