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Simplifying 0.25(x + 3) = 4x + -14(1 + -1x) + -3 Reorder the terms: 0.25(3 + x) = 4x + -14(1 + -1x) + -3 (3 * 0.25 + x * 0.25) = 4x + -14(1 + -1x) + -3 (0.75 + 0.25x) = 4x + -14(1 + -1x) + -3 0.75 + 0.25x = 4x + (1 * -14 + -1x * -14) + -3 0.75 + 0.25x = 4x + (-14 + 14x) + -3 Reorder the terms: 0.75 + 0.25x = -14 + -3 + 4x + 14x Combine like terms: -14 + -3 = -17 0.75 + 0.25x = -17 + 4x + 14x Combine like terms: 4x + 14x = 18x 0.75 + 0.25x = -17 + 18x Solving 0.75 + 0.25x = -17 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 0.75 + 0.25x + -18x = -17 + 18x + -18x Combine like terms: 0.25x + -18x = -17.75x 0.75 + -17.75x = -17 + 18x + -18x Combine like terms: 18x + -18x = 0 0.75 + -17.75x = -17 + 0 0.75 + -17.75x = -17 Add '-0.75' to each side of the equation. 0.75 + -0.75 + -17.75x = -17 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + -17.75x = -17 + -0.75 -17.75x = -17 + -0.75 Combine like terms: -17 + -0.75 = -17.75 -17.75x = -17.75 Divide each side by '-17.75'. x = 1 Simplifying x = 1
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