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Simplifying 3(2x + -2) + 5x = 4(3x + -4) Reorder the terms: 3(-2 + 2x) + 5x = 4(3x + -4) (-2 * 3 + 2x * 3) + 5x = 4(3x + -4) (-6 + 6x) + 5x = 4(3x + -4) Combine like terms: 6x + 5x = 11x -6 + 11x = 4(3x + -4) Reorder the terms: -6 + 11x = 4(-4 + 3x) -6 + 11x = (-4 * 4 + 3x * 4) -6 + 11x = (-16 + 12x) Solving -6 + 11x = -16 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -6 + 11x + -12x = -16 + 12x + -12x Combine like terms: 11x + -12x = -1x -6 + -1x = -16 + 12x + -12x Combine like terms: 12x + -12x = 0 -6 + -1x = -16 + 0 -6 + -1x = -16 Add '6' to each side of the equation. -6 + 6 + -1x = -16 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = -16 + 6 -1x = -16 + 6 Combine like terms: -16 + 6 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10
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