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Simplifying 6(5x + 1) = -8(-3x + 3) Reorder the terms: 6(1 + 5x) = -8(-3x + 3) (1 * 6 + 5x * 6) = -8(-3x + 3) (6 + 30x) = -8(-3x + 3) Reorder the terms: 6 + 30x = -8(3 + -3x) 6 + 30x = (3 * -8 + -3x * -8) 6 + 30x = (-24 + 24x) Solving 6 + 30x = -24 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 6 + 30x + -24x = -24 + 24x + -24x Combine like terms: 30x + -24x = 6x 6 + 6x = -24 + 24x + -24x Combine like terms: 24x + -24x = 0 6 + 6x = -24 + 0 6 + 6x = -24 Add '-6' to each side of the equation. 6 + -6 + 6x = -24 + -6 Combine like terms: 6 + -6 = 0 0 + 6x = -24 + -6 6x = -24 + -6 Combine like terms: -24 + -6 = -30 6x = -30 Divide each side by '6'. x = -5 Simplifying x = -5
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