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Simplifying 3(x + -3) * 6 = 2(x + 1) * 12 Reorder the terms: 3(-3 + x) * 6 = 2(x + 1) * 12 Reorder the terms for easier multiplication: 3 * 6(-3 + x) = 2(x + 1) * 12 Multiply 3 * 6 18(-3 + x) = 2(x + 1) * 12 (-3 * 18 + x * 18) = 2(x + 1) * 12 (-54 + 18x) = 2(x + 1) * 12 Reorder the terms: -54 + 18x = 2(1 + x) * 12 Reorder the terms for easier multiplication: -54 + 18x = 2 * 12(1 + x) Multiply 2 * 12 -54 + 18x = 24(1 + x) -54 + 18x = (1 * 24 + x * 24) -54 + 18x = (24 + 24x) Solving -54 + 18x = 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. -54 + 18x + -24x = 24 + 24x + -24x Combine like terms: 18x + -24x = -6x -54 + -6x = 24 + 24x + -24x Combine like terms: 24x + -24x = 0 -54 + -6x = 24 + 0 -54 + -6x = 24 Add '54' to each side of the equation. -54 + 54 + -6x = 24 + 54 Combine like terms: -54 + 54 = 0 0 + -6x = 24 + 54 -6x = 24 + 54 Combine like terms: 24 + 54 = 78 -6x = 78 Divide each side by '-6'. x = -13 Simplifying x = -13
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