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Simplifying 6(x + -3) + -4x = 5(x + -7) + 2 Reorder the terms: 6(-3 + x) + -4x = 5(x + -7) + 2 (-3 * 6 + x * 6) + -4x = 5(x + -7) + 2 (-18 + 6x) + -4x = 5(x + -7) + 2 Combine like terms: 6x + -4x = 2x -18 + 2x = 5(x + -7) + 2 Reorder the terms: -18 + 2x = 5(-7 + x) + 2 -18 + 2x = (-7 * 5 + x * 5) + 2 -18 + 2x = (-35 + 5x) + 2 Reorder the terms: -18 + 2x = -35 + 2 + 5x Combine like terms: -35 + 2 = -33 -18 + 2x = -33 + 5x Solving -18 + 2x = -33 + 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. -18 + 2x + -5x = -33 + 5x + -5x Combine like terms: 2x + -5x = -3x -18 + -3x = -33 + 5x + -5x Combine like terms: 5x + -5x = 0 -18 + -3x = -33 + 0 -18 + -3x = -33 Add '18' to each side of the equation. -18 + 18 + -3x = -33 + 18 Combine like terms: -18 + 18 = 0 0 + -3x = -33 + 18 -3x = -33 + 18 Combine like terms: -33 + 18 = -15 -3x = -15 Divide each side by '-3'. x = 5 Simplifying x = 5
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