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Simplifying 5x + -2(x + -5) = -7 + 5x + 1 Reorder the terms: 5x + -2(-5 + x) = -7 + 5x + 1 5x + (-5 * -2 + x * -2) = -7 + 5x + 1 5x + (10 + -2x) = -7 + 5x + 1 Reorder the terms: 10 + 5x + -2x = -7 + 5x + 1 Combine like terms: 5x + -2x = 3x 10 + 3x = -7 + 5x + 1 Reorder the terms: 10 + 3x = -7 + 1 + 5x Combine like terms: -7 + 1 = -6 10 + 3x = -6 + 5x Solving 10 + 3x = -6 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 10 + 3x + -5x = -6 + 5x + -5x Combine like terms: 3x + -5x = -2x 10 + -2x = -6 + 5x + -5x Combine like terms: 5x + -5x = 0 10 + -2x = -6 + 0 10 + -2x = -6 Add '-10' to each side of the equation. 10 + -10 + -2x = -6 + -10 Combine like terms: 10 + -10 = 0 0 + -2x = -6 + -10 -2x = -6 + -10 Combine like terms: -6 + -10 = -16 -2x = -16 Divide each side by '-2'. x = 8 Simplifying x = 8
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