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Simplifying 5(1 + -3x) = 4(2 + -3x) (1 * 5 + -3x * 5) = 4(2 + -3x) (5 + -15x) = 4(2 + -3x) 5 + -15x = (2 * 4 + -3x * 4) 5 + -15x = (8 + -12x) Solving 5 + -15x = 8 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 5 + -15x + 12x = 8 + -12x + 12x Combine like terms: -15x + 12x = -3x 5 + -3x = 8 + -12x + 12x Combine like terms: -12x + 12x = 0 5 + -3x = 8 + 0 5 + -3x = 8 Add '-5' to each side of the equation. 5 + -5 + -3x = 8 + -5 Combine like terms: 5 + -5 = 0 0 + -3x = 8 + -5 -3x = 8 + -5 Combine like terms: 8 + -5 = 3 -3x = 3 Divide each side by '-3'. x = -1 Simplifying x = -1
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