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Simplifying 4(x + -3) + -2x = 5(x + 1) + 1 Reorder the terms: 4(-3 + x) + -2x = 5(x + 1) + 1 (-3 * 4 + x * 4) + -2x = 5(x + 1) + 1 (-12 + 4x) + -2x = 5(x + 1) + 1 Combine like terms: 4x + -2x = 2x -12 + 2x = 5(x + 1) + 1 Reorder the terms: -12 + 2x = 5(1 + x) + 1 -12 + 2x = (1 * 5 + x * 5) + 1 -12 + 2x = (5 + 5x) + 1 Reorder the terms: -12 + 2x = 5 + 1 + 5x Combine like terms: 5 + 1 = 6 -12 + 2x = 6 + 5x Solving -12 + 2x = 6 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -12 + 2x + -5x = 6 + 5x + -5x Combine like terms: 2x + -5x = -3x -12 + -3x = 6 + 5x + -5x Combine like terms: 5x + -5x = 0 -12 + -3x = 6 + 0 -12 + -3x = 6 Add '12' to each side of the equation. -12 + 12 + -3x = 6 + 12 Combine like terms: -12 + 12 = 0 0 + -3x = 6 + 12 -3x = 6 + 12 Combine like terms: 6 + 12 = 18 -3x = 18 Divide each side by '-3'. x = -6 Simplifying x = -6
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