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Simplifying 4(x + -3) + 2(x + -1) = -3(x + 1) + 3 Reorder the terms: 4(-3 + x) + 2(x + -1) = -3(x + 1) + 3 (-3 * 4 + x * 4) + 2(x + -1) = -3(x + 1) + 3 (-12 + 4x) + 2(x + -1) = -3(x + 1) + 3 Reorder the terms: -12 + 4x + 2(-1 + x) = -3(x + 1) + 3 -12 + 4x + (-1 * 2 + x * 2) = -3(x + 1) + 3 -12 + 4x + (-2 + 2x) = -3(x + 1) + 3 Reorder the terms: -12 + -2 + 4x + 2x = -3(x + 1) + 3 Combine like terms: -12 + -2 = -14 -14 + 4x + 2x = -3(x + 1) + 3 Combine like terms: 4x + 2x = 6x -14 + 6x = -3(x + 1) + 3 Reorder the terms: -14 + 6x = -3(1 + x) + 3 -14 + 6x = (1 * -3 + x * -3) + 3 -14 + 6x = (-3 + -3x) + 3 Reorder the terms: -14 + 6x = -3 + 3 + -3x Combine like terms: -3 + 3 = 0 -14 + 6x = 0 + -3x -14 + 6x = -3x Solving -14 + 6x = -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -14 + 6x + 3x = -3x + 3x Combine like terms: 6x + 3x = 9x -14 + 9x = -3x + 3x Combine like terms: -3x + 3x = 0 -14 + 9x = 0 Add '14' to each side of the equation. -14 + 14 + 9x = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 9x = 0 + 14 9x = 0 + 14 Combine like terms: 0 + 14 = 14 9x = 14 Divide each side by '9'. x = 1.555555556 Simplifying x = 1.555555556
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