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Simplifying 5(2x + -3) + 18 = -8(x + -2) + 12x + -1 Reorder the terms: 5(-3 + 2x) + 18 = -8(x + -2) + 12x + -1 (-3 * 5 + 2x * 5) + 18 = -8(x + -2) + 12x + -1 (-15 + 10x) + 18 = -8(x + -2) + 12x + -1 Reorder the terms: -15 + 18 + 10x = -8(x + -2) + 12x + -1 Combine like terms: -15 + 18 = 3 3 + 10x = -8(x + -2) + 12x + -1 Reorder the terms: 3 + 10x = -8(-2 + x) + 12x + -1 3 + 10x = (-2 * -8 + x * -8) + 12x + -1 3 + 10x = (16 + -8x) + 12x + -1 Reorder the terms: 3 + 10x = 16 + -1 + -8x + 12x Combine like terms: 16 + -1 = 15 3 + 10x = 15 + -8x + 12x Combine like terms: -8x + 12x = 4x 3 + 10x = 15 + 4x Solving 3 + 10x = 15 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 3 + 10x + -4x = 15 + 4x + -4x Combine like terms: 10x + -4x = 6x 3 + 6x = 15 + 4x + -4x Combine like terms: 4x + -4x = 0 3 + 6x = 15 + 0 3 + 6x = 15 Add '-3' to each side of the equation. 3 + -3 + 6x = 15 + -3 Combine like terms: 3 + -3 = 0 0 + 6x = 15 + -3 6x = 15 + -3 Combine like terms: 15 + -3 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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