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Simplifying 7x + -3x = -7(12x + -12) + 4(3 + -2x) Combine like terms: 7x + -3x = 4x 4x = -7(12x + -12) + 4(3 + -2x) Reorder the terms: 4x = -7(-12 + 12x) + 4(3 + -2x) 4x = (-12 * -7 + 12x * -7) + 4(3 + -2x) 4x = (84 + -84x) + 4(3 + -2x) 4x = 84 + -84x + (3 * 4 + -2x * 4) 4x = 84 + -84x + (12 + -8x) Reorder the terms: 4x = 84 + 12 + -84x + -8x Combine like terms: 84 + 12 = 96 4x = 96 + -84x + -8x Combine like terms: -84x + -8x = -92x 4x = 96 + -92x Solving 4x = 96 + -92x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '92x' to each side of the equation. 4x + 92x = 96 + -92x + 92x Combine like terms: 4x + 92x = 96x 96x = 96 + -92x + 92x Combine like terms: -92x + 92x = 0 96x = 96 + 0 96x = 96 Divide each side by '96'. x = 1 Simplifying x = 1
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