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Simplifying 5x + -3(2x + -4) = 2(x + -1) + 4 Reorder the terms: 5x + -3(-4 + 2x) = 2(x + -1) + 4 5x + (-4 * -3 + 2x * -3) = 2(x + -1) + 4 5x + (12 + -6x) = 2(x + -1) + 4 Reorder the terms: 12 + 5x + -6x = 2(x + -1) + 4 Combine like terms: 5x + -6x = -1x 12 + -1x = 2(x + -1) + 4 Reorder the terms: 12 + -1x = 2(-1 + x) + 4 12 + -1x = (-1 * 2 + x * 2) + 4 12 + -1x = (-2 + 2x) + 4 Reorder the terms: 12 + -1x = -2 + 4 + 2x Combine like terms: -2 + 4 = 2 12 + -1x = 2 + 2x Solving 12 + -1x = 2 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 12 + -1x + -2x = 2 + 2x + -2x Combine like terms: -1x + -2x = -3x 12 + -3x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 12 + -3x = 2 + 0 12 + -3x = 2 Add '-12' to each side of the equation. 12 + -12 + -3x = 2 + -12 Combine like terms: 12 + -12 = 0 0 + -3x = 2 + -12 -3x = 2 + -12 Combine like terms: 2 + -12 = -10 -3x = -10 Divide each side by '-3'. x = 3.333333333 Simplifying x = 3.333333333
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