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Simplifying 0.5(12x + 10) + -18 = -0.25(8x + -36) Reorder the terms: 0.5(10 + 12x) + -18 = -0.25(8x + -36) (10 * 0.5 + 12x * 0.5) + -18 = -0.25(8x + -36) (5 + 6x) + -18 = -0.25(8x + -36) Reorder the terms: 5 + -18 + 6x = -0.25(8x + -36) Combine like terms: 5 + -18 = -13 -13 + 6x = -0.25(8x + -36) Reorder the terms: -13 + 6x = -0.25(-36 + 8x) -13 + 6x = (-36 * -0.25 + 8x * -0.25) -13 + 6x = (9 + -2x) Solving -13 + 6x = 9 + -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. -13 + 6x + 2x = 9 + -2x + 2x Combine like terms: 6x + 2x = 8x -13 + 8x = 9 + -2x + 2x Combine like terms: -2x + 2x = 0 -13 + 8x = 9 + 0 -13 + 8x = 9 Add '13' to each side of the equation. -13 + 13 + 8x = 9 + 13 Combine like terms: -13 + 13 = 0 0 + 8x = 9 + 13 8x = 9 + 13 Combine like terms: 9 + 13 = 22 8x = 22 Divide each side by '8'. x = 2.75 Simplifying x = 2.75
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