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Simplifying 5(x + 1) + -2(x + -4) = 8x + -7 Reorder the terms: 5(1 + x) + -2(x + -4) = 8x + -7 (1 * 5 + x * 5) + -2(x + -4) = 8x + -7 (5 + 5x) + -2(x + -4) = 8x + -7 Reorder the terms: 5 + 5x + -2(-4 + x) = 8x + -7 5 + 5x + (-4 * -2 + x * -2) = 8x + -7 5 + 5x + (8 + -2x) = 8x + -7 Reorder the terms: 5 + 8 + 5x + -2x = 8x + -7 Combine like terms: 5 + 8 = 13 13 + 5x + -2x = 8x + -7 Combine like terms: 5x + -2x = 3x 13 + 3x = 8x + -7 Reorder the terms: 13 + 3x = -7 + 8x Solving 13 + 3x = -7 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 13 + 3x + -8x = -7 + 8x + -8x Combine like terms: 3x + -8x = -5x 13 + -5x = -7 + 8x + -8x Combine like terms: 8x + -8x = 0 13 + -5x = -7 + 0 13 + -5x = -7 Add '-13' to each side of the equation. 13 + -13 + -5x = -7 + -13 Combine like terms: 13 + -13 = 0 0 + -5x = -7 + -13 -5x = -7 + -13 Combine like terms: -7 + -13 = -20 -5x = -20 Divide each side by '-5'. x = 4 Simplifying x = 4
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