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Simplifying x + -4(2x + -7) = 3(x + 6) Reorder the terms: x + -4(-7 + 2x) = 3(x + 6) x + (-7 * -4 + 2x * -4) = 3(x + 6) x + (28 + -8x) = 3(x + 6) Reorder the terms: 28 + x + -8x = 3(x + 6) Combine like terms: x + -8x = -7x 28 + -7x = 3(x + 6) Reorder the terms: 28 + -7x = 3(6 + x) 28 + -7x = (6 * 3 + x * 3) 28 + -7x = (18 + 3x) Solving 28 + -7x = 18 + 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. 28 + -7x + -3x = 18 + 3x + -3x Combine like terms: -7x + -3x = -10x 28 + -10x = 18 + 3x + -3x Combine like terms: 3x + -3x = 0 28 + -10x = 18 + 0 28 + -10x = 18 Add '-28' to each side of the equation. 28 + -28 + -10x = 18 + -28 Combine like terms: 28 + -28 = 0 0 + -10x = 18 + -28 -10x = 18 + -28 Combine like terms: 18 + -28 = -10 -10x = -10 Divide each side by '-10'. x = 1 Simplifying x = 1
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