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Simplifying 6(x + -2) + -3x + 1 = 5(x + -1) + 4 Reorder the terms: 6(-2 + x) + -3x + 1 = 5(x + -1) + 4 (-2 * 6 + x * 6) + -3x + 1 = 5(x + -1) + 4 (-12 + 6x) + -3x + 1 = 5(x + -1) + 4 Reorder the terms: -12 + 1 + 6x + -3x = 5(x + -1) + 4 Combine like terms: -12 + 1 = -11 -11 + 6x + -3x = 5(x + -1) + 4 Combine like terms: 6x + -3x = 3x -11 + 3x = 5(x + -1) + 4 Reorder the terms: -11 + 3x = 5(-1 + x) + 4 -11 + 3x = (-1 * 5 + x * 5) + 4 -11 + 3x = (-5 + 5x) + 4 Reorder the terms: -11 + 3x = -5 + 4 + 5x Combine like terms: -5 + 4 = -1 -11 + 3x = -1 + 5x Solving -11 + 3x = -1 + 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. -11 + 3x + -5x = -1 + 5x + -5x Combine like terms: 3x + -5x = -2x -11 + -2x = -1 + 5x + -5x Combine like terms: 5x + -5x = 0 -11 + -2x = -1 + 0 -11 + -2x = -1 Add '11' to each side of the equation. -11 + 11 + -2x = -1 + 11 Combine like terms: -11 + 11 = 0 0 + -2x = -1 + 11 -2x = -1 + 11 Combine like terms: -1 + 11 = 10 -2x = 10 Divide each side by '-2'. x = -5 Simplifying x = -5
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