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Simplifying 15 + -3(2x + 3) = 54 + -2(x + -1) Reorder the terms: 15 + -3(3 + 2x) = 54 + -2(x + -1) 15 + (3 * -3 + 2x * -3) = 54 + -2(x + -1) 15 + (-9 + -6x) = 54 + -2(x + -1) Combine like terms: 15 + -9 = 6 6 + -6x = 54 + -2(x + -1) Reorder the terms: 6 + -6x = 54 + -2(-1 + x) 6 + -6x = 54 + (-1 * -2 + x * -2) 6 + -6x = 54 + (2 + -2x) Combine like terms: 54 + 2 = 56 6 + -6x = 56 + -2x Solving 6 + -6x = 56 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 6 + -6x + 2x = 56 + -2x + 2x Combine like terms: -6x + 2x = -4x 6 + -4x = 56 + -2x + 2x Combine like terms: -2x + 2x = 0 6 + -4x = 56 + 0 6 + -4x = 56 Add '-6' to each side of the equation. 6 + -6 + -4x = 56 + -6 Combine like terms: 6 + -6 = 0 0 + -4x = 56 + -6 -4x = 56 + -6 Combine like terms: 56 + -6 = 50 -4x = 50 Divide each side by '-4'. x = -12.5 Simplifying x = -12.5
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