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Simplifying -8(-5x + -2) = 6x + -1(-1x + -7) + -2(-1x + 3) Reorder the terms: -8(-2 + -5x) = 6x + -1(-1x + -7) + -2(-1x + 3) (-2 * -8 + -5x * -8) = 6x + -1(-1x + -7) + -2(-1x + 3) (16 + 40x) = 6x + -1(-1x + -7) + -2(-1x + 3) Reorder the terms: 16 + 40x = 6x + -1(-7 + -1x) + -2(-1x + 3) 16 + 40x = 6x + (-7 * -1 + -1x * -1) + -2(-1x + 3) 16 + 40x = 6x + (7 + 1x) + -2(-1x + 3) Reorder the terms: 16 + 40x = 6x + 7 + 1x + -2(3 + -1x) 16 + 40x = 6x + 7 + 1x + (3 * -2 + -1x * -2) 16 + 40x = 6x + 7 + 1x + (-6 + 2x) Reorder the terms: 16 + 40x = 7 + -6 + 6x + 1x + 2x Combine like terms: 7 + -6 = 1 16 + 40x = 1 + 6x + 1x + 2x Combine like terms: 6x + 1x = 7x 16 + 40x = 1 + 7x + 2x Combine like terms: 7x + 2x = 9x 16 + 40x = 1 + 9x Solving 16 + 40x = 1 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 16 + 40x + -9x = 1 + 9x + -9x Combine like terms: 40x + -9x = 31x 16 + 31x = 1 + 9x + -9x Combine like terms: 9x + -9x = 0 16 + 31x = 1 + 0 16 + 31x = 1 Add '-16' to each side of the equation. 16 + -16 + 31x = 1 + -16 Combine like terms: 16 + -16 = 0 0 + 31x = 1 + -16 31x = 1 + -16 Combine like terms: 1 + -16 = -15 31x = -15 Divide each side by '31'. x = -0.4838709677 Simplifying x = -0.4838709677
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