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Simplifying 0.25(x + 3) = 6x + -9(1 + -1x) + -5 Reorder the terms: 0.25(3 + x) = 6x + -9(1 + -1x) + -5 (3 * 0.25 + x * 0.25) = 6x + -9(1 + -1x) + -5 (0.75 + 0.25x) = 6x + -9(1 + -1x) + -5 0.75 + 0.25x = 6x + (1 * -9 + -1x * -9) + -5 0.75 + 0.25x = 6x + (-9 + 9x) + -5 Reorder the terms: 0.75 + 0.25x = -9 + -5 + 6x + 9x Combine like terms: -9 + -5 = -14 0.75 + 0.25x = -14 + 6x + 9x Combine like terms: 6x + 9x = 15x 0.75 + 0.25x = -14 + 15x Solving 0.75 + 0.25x = -14 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 0.75 + 0.25x + -15x = -14 + 15x + -15x Combine like terms: 0.25x + -15x = -14.75x 0.75 + -14.75x = -14 + 15x + -15x Combine like terms: 15x + -15x = 0 0.75 + -14.75x = -14 + 0 0.75 + -14.75x = -14 Add '-0.75' to each side of the equation. 0.75 + -0.75 + -14.75x = -14 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + -14.75x = -14 + -0.75 -14.75x = -14 + -0.75 Combine like terms: -14 + -0.75 = -14.75 -14.75x = -14.75 Divide each side by '-14.75'. x = 1 Simplifying x = 1
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