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Simplifying 10(1 + -3x) = -8(6x + 1) (1 * 10 + -3x * 10) = -8(6x + 1) (10 + -30x) = -8(6x + 1) Reorder the terms: 10 + -30x = -8(1 + 6x) 10 + -30x = (1 * -8 + 6x * -8) 10 + -30x = (-8 + -48x) Solving 10 + -30x = -8 + -48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '48x' to each side of the equation. 10 + -30x + 48x = -8 + -48x + 48x Combine like terms: -30x + 48x = 18x 10 + 18x = -8 + -48x + 48x Combine like terms: -48x + 48x = 0 10 + 18x = -8 + 0 10 + 18x = -8 Add '-10' to each side of the equation. 10 + -10 + 18x = -8 + -10 Combine like terms: 10 + -10 = 0 0 + 18x = -8 + -10 18x = -8 + -10 Combine like terms: -8 + -10 = -18 18x = -18 Divide each side by '18'. x = -1 Simplifying x = -1
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