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Simplifying 4(2 + -3x) = 7 + -3(2 + 5x) (2 * 4 + -3x * 4) = 7 + -3(2 + 5x) (8 + -12x) = 7 + -3(2 + 5x) 8 + -12x = 7 + (2 * -3 + 5x * -3) 8 + -12x = 7 + (-6 + -15x) Combine like terms: 7 + -6 = 1 8 + -12x = 1 + -15x Solving 8 + -12x = 1 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. 8 + -12x + 15x = 1 + -15x + 15x Combine like terms: -12x + 15x = 3x 8 + 3x = 1 + -15x + 15x Combine like terms: -15x + 15x = 0 8 + 3x = 1 + 0 8 + 3x = 1 Add '-8' to each side of the equation. 8 + -8 + 3x = 1 + -8 Combine like terms: 8 + -8 = 0 0 + 3x = 1 + -8 3x = 1 + -8 Combine like terms: 1 + -8 = -7 3x = -7 Divide each side by '3'. x = -2.333333333 Simplifying x = -2.333333333
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