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Simplifying -4(2x + -3) + 1 = 2(x + 5) + -7 Reorder the terms: -4(-3 + 2x) + 1 = 2(x + 5) + -7 (-3 * -4 + 2x * -4) + 1 = 2(x + 5) + -7 (12 + -8x) + 1 = 2(x + 5) + -7 Reorder the terms: 12 + 1 + -8x = 2(x + 5) + -7 Combine like terms: 12 + 1 = 13 13 + -8x = 2(x + 5) + -7 Reorder the terms: 13 + -8x = 2(5 + x) + -7 13 + -8x = (5 * 2 + x * 2) + -7 13 + -8x = (10 + 2x) + -7 Reorder the terms: 13 + -8x = 10 + -7 + 2x Combine like terms: 10 + -7 = 3 13 + -8x = 3 + 2x Solving 13 + -8x = 3 + 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. 13 + -8x + -2x = 3 + 2x + -2x Combine like terms: -8x + -2x = -10x 13 + -10x = 3 + 2x + -2x Combine like terms: 2x + -2x = 0 13 + -10x = 3 + 0 13 + -10x = 3 Add '-13' to each side of the equation. 13 + -13 + -10x = 3 + -13 Combine like terms: 13 + -13 = 0 0 + -10x = 3 + -13 -10x = 3 + -13 Combine like terms: 3 + -13 = -10 -10x = -10 Divide each side by '-10'. x = 1 Simplifying x = 1
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