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Simplifying 0.25(x + -4 + 3x) + -1(x + 20) = 27x + -1(-4) Reorder the terms: 0.25(-4 + x + 3x) + -1(x + 20) = 27x + -1(-4) Combine like terms: x + 3x = 4x 0.25(-4 + 4x) + -1(x + 20) = 27x + -1(-4) (-4 * 0.25 + 4x * 0.25) + -1(x + 20) = 27x + -1(-4) (-1 + 1x) + -1(x + 20) = 27x + -1(-4) Reorder the terms: -1 + 1x + -1(20 + x) = 27x + -1(-4) -1 + 1x + (20 * -1 + x * -1) = 27x + -1(-4) -1 + 1x + (-20 + -1x) = 27x + -1(-4) Reorder the terms: -1 + -20 + 1x + -1x = 27x + -1(-4) Combine like terms: -1 + -20 = -21 -21 + 1x + -1x = 27x + -1(-4) Combine like terms: 1x + -1x = 0 -21 + 0 = 27x + -1(-4) -21 = 27x + -1(-4) Multiply -1 * -4 -21 = 27x + 4 Reorder the terms: -21 = 4 + 27x Solving -21 = 4 + 27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27x' to each side of the equation. -21 + -27x = 4 + 27x + -27x Combine like terms: 27x + -27x = 0 -21 + -27x = 4 + 0 -21 + -27x = 4 Add '21' to each side of the equation. -21 + 21 + -27x = 4 + 21 Combine like terms: -21 + 21 = 0 0 + -27x = 4 + 21 -27x = 4 + 21 Combine like terms: 4 + 21 = 25 -27x = 25 Divide each side by '-27'. x = -0.9259259259 Simplifying x = -0.9259259259
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