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Simplifying 0.25(x + 3) = 4x + -16(1 + -1x) + -3 Reorder the terms: 0.25(3 + x) = 4x + -16(1 + -1x) + -3 (3 * 0.25 + x * 0.25) = 4x + -16(1 + -1x) + -3 (0.75 + 0.25x) = 4x + -16(1 + -1x) + -3 0.75 + 0.25x = 4x + (1 * -16 + -1x * -16) + -3 0.75 + 0.25x = 4x + (-16 + 16x) + -3 Reorder the terms: 0.75 + 0.25x = -16 + -3 + 4x + 16x Combine like terms: -16 + -3 = -19 0.75 + 0.25x = -19 + 4x + 16x Combine like terms: 4x + 16x = 20x 0.75 + 0.25x = -19 + 20x Solving 0.75 + 0.25x = -19 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 0.75 + 0.25x + -20x = -19 + 20x + -20x Combine like terms: 0.25x + -20x = -19.75x 0.75 + -19.75x = -19 + 20x + -20x Combine like terms: 20x + -20x = 0 0.75 + -19.75x = -19 + 0 0.75 + -19.75x = -19 Add '-0.75' to each side of the equation. 0.75 + -0.75 + -19.75x = -19 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + -19.75x = -19 + -0.75 -19.75x = -19 + -0.75 Combine like terms: -19 + -0.75 = -19.75 -19.75x = -19.75 Divide each side by '-19.75'. x = 1 Simplifying x = 1
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