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Simplifying 2x + -1(x + 4) + 16 = 3(x + -3) + -3 Reorder the terms: 2x + -1(4 + x) + 16 = 3(x + -3) + -3 2x + (4 * -1 + x * -1) + 16 = 3(x + -3) + -3 2x + (-4 + -1x) + 16 = 3(x + -3) + -3 Reorder the terms: -4 + 16 + 2x + -1x = 3(x + -3) + -3 Combine like terms: -4 + 16 = 12 12 + 2x + -1x = 3(x + -3) + -3 Combine like terms: 2x + -1x = 1x 12 + 1x = 3(x + -3) + -3 Reorder the terms: 12 + 1x = 3(-3 + x) + -3 12 + 1x = (-3 * 3 + x * 3) + -3 12 + 1x = (-9 + 3x) + -3 Reorder the terms: 12 + 1x = -9 + -3 + 3x Combine like terms: -9 + -3 = -12 12 + 1x = -12 + 3x Solving 12 + 1x = -12 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 12 + 1x + -3x = -12 + 3x + -3x Combine like terms: 1x + -3x = -2x 12 + -2x = -12 + 3x + -3x Combine like terms: 3x + -3x = 0 12 + -2x = -12 + 0 12 + -2x = -12 Add '-12' to each side of the equation. 12 + -12 + -2x = -12 + -12 Combine like terms: 12 + -12 = 0 0 + -2x = -12 + -12 -2x = -12 + -12 Combine like terms: -12 + -12 = -24 -2x = -24 Divide each side by '-2'. x = 12 Simplifying x = 12
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