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Simplifying -5(3x + -2) = 16(1 + -1x) Reorder the terms: -5(-2 + 3x) = 16(1 + -1x) (-2 * -5 + 3x * -5) = 16(1 + -1x) (10 + -15x) = 16(1 + -1x) 10 + -15x = (1 * 16 + -1x * 16) 10 + -15x = (16 + -16x) Solving 10 + -15x = 16 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. 10 + -15x + 16x = 16 + -16x + 16x Combine like terms: -15x + 16x = 1x 10 + 1x = 16 + -16x + 16x Combine like terms: -16x + 16x = 0 10 + 1x = 16 + 0 10 + 1x = 16 Add '-10' to each side of the equation. 10 + -10 + 1x = 16 + -10 Combine like terms: 10 + -10 = 0 0 + 1x = 16 + -10 1x = 16 + -10 Combine like terms: 16 + -10 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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