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Simplifying -18 + -3(-2x + 4) = 9x + 5(6 + -3x) Reorder the terms: -18 + -3(4 + -2x) = 9x + 5(6 + -3x) -18 + (4 * -3 + -2x * -3) = 9x + 5(6 + -3x) -18 + (-12 + 6x) = 9x + 5(6 + -3x) Combine like terms: -18 + -12 = -30 -30 + 6x = 9x + 5(6 + -3x) -30 + 6x = 9x + (6 * 5 + -3x * 5) -30 + 6x = 9x + (30 + -15x) Reorder the terms: -30 + 6x = 30 + 9x + -15x Combine like terms: 9x + -15x = -6x -30 + 6x = 30 + -6x Solving -30 + 6x = 30 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -30 + 6x + 6x = 30 + -6x + 6x Combine like terms: 6x + 6x = 12x -30 + 12x = 30 + -6x + 6x Combine like terms: -6x + 6x = 0 -30 + 12x = 30 + 0 -30 + 12x = 30 Add '30' to each side of the equation. -30 + 30 + 12x = 30 + 30 Combine like terms: -30 + 30 = 0 0 + 12x = 30 + 30 12x = 30 + 30 Combine like terms: 30 + 30 = 60 12x = 60 Divide each side by '12'. x = 5 Simplifying x = 5
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