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Simplifying -3(x + -5) + -2(2x + 1) = -8 Reorder the terms: -3(-5 + x) + -2(2x + 1) = -8 (-5 * -3 + x * -3) + -2(2x + 1) = -8 (15 + -3x) + -2(2x + 1) = -8 Reorder the terms: 15 + -3x + -2(1 + 2x) = -8 15 + -3x + (1 * -2 + 2x * -2) = -8 15 + -3x + (-2 + -4x) = -8 Reorder the terms: 15 + -2 + -3x + -4x = -8 Combine like terms: 15 + -2 = 13 13 + -3x + -4x = -8 Combine like terms: -3x + -4x = -7x 13 + -7x = -8 Solving 13 + -7x = -8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -7x = -8 + -13 Combine like terms: 13 + -13 = 0 0 + -7x = -8 + -13 -7x = -8 + -13 Combine like terms: -8 + -13 = -21 -7x = -21 Divide each side by '-7'. x = 3 Simplifying x = 3
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