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Simplifying 2x + -3(4 + 5x) = 2x + 18 2x + (4 * -3 + 5x * -3) = 2x + 18 2x + (-12 + -15x) = 2x + 18 Reorder the terms: -12 + 2x + -15x = 2x + 18 Combine like terms: 2x + -15x = -13x -12 + -13x = 2x + 18 Reorder the terms: -12 + -13x = 18 + 2x Solving -12 + -13x = 18 + 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. -12 + -13x + -2x = 18 + 2x + -2x Combine like terms: -13x + -2x = -15x -12 + -15x = 18 + 2x + -2x Combine like terms: 2x + -2x = 0 -12 + -15x = 18 + 0 -12 + -15x = 18 Add '12' to each side of the equation. -12 + 12 + -15x = 18 + 12 Combine like terms: -12 + 12 = 0 0 + -15x = 18 + 12 -15x = 18 + 12 Combine like terms: 18 + 12 = 30 -15x = 30 Divide each side by '-15'. x = -2 Simplifying x = -2
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