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Simplifying 6x + -4(3x + -2x) = 5(x + -4) + -10 Combine like terms: 3x + -2x = 1x 6x + -4(1x) = 5(x + -4) + -10 Remove parenthesis around (1x) 6x + -4 * 1x = 5(x + -4) + -10 Multiply -4 * 1 6x + -4x = 5(x + -4) + -10 Combine like terms: 6x + -4x = 2x 2x = 5(x + -4) + -10 Reorder the terms: 2x = 5(-4 + x) + -10 2x = (-4 * 5 + x * 5) + -10 2x = (-20 + 5x) + -10 Reorder the terms: 2x = -20 + -10 + 5x Combine like terms: -20 + -10 = -30 2x = -30 + 5x Solving 2x = -30 + 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. 2x + -5x = -30 + 5x + -5x Combine like terms: 2x + -5x = -3x -3x = -30 + 5x + -5x Combine like terms: 5x + -5x = 0 -3x = -30 + 0 -3x = -30 Divide each side by '-3'. x = 10 Simplifying x = 10
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