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Simplifying 2x + -3(x + -4) = 2(3x + -2x) + 2 Reorder the terms: 2x + -3(-4 + x) = 2(3x + -2x) + 2 2x + (-4 * -3 + x * -3) = 2(3x + -2x) + 2 2x + (12 + -3x) = 2(3x + -2x) + 2 Reorder the terms: 12 + 2x + -3x = 2(3x + -2x) + 2 Combine like terms: 2x + -3x = -1x 12 + -1x = 2(3x + -2x) + 2 Combine like terms: 3x + -2x = 1x 12 + -1x = 2(1x) + 2 Remove parenthesis around (1x) 12 + -1x = 2 * 1x + 2 Multiply 2 * 1 12 + -1x = 2x + 2 Reorder the terms: 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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