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Simplifying 2(5 + -3x) = 4(x + 2) + -4(4 + -5x) + 7 (5 * 2 + -3x * 2) = 4(x + 2) + -4(4 + -5x) + 7 (10 + -6x) = 4(x + 2) + -4(4 + -5x) + 7 Reorder the terms: 10 + -6x = 4(2 + x) + -4(4 + -5x) + 7 10 + -6x = (2 * 4 + x * 4) + -4(4 + -5x) + 7 10 + -6x = (8 + 4x) + -4(4 + -5x) + 7 10 + -6x = 8 + 4x + (4 * -4 + -5x * -4) + 7 10 + -6x = 8 + 4x + (-16 + 20x) + 7 Reorder the terms: 10 + -6x = 8 + -16 + 7 + 4x + 20x Combine like terms: 8 + -16 = -8 10 + -6x = -8 + 7 + 4x + 20x Combine like terms: -8 + 7 = -1 10 + -6x = -1 + 4x + 20x Combine like terms: 4x + 20x = 24x 10 + -6x = -1 + 24x Solving 10 + -6x = -1 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 10 + -6x + -24x = -1 + 24x + -24x Combine like terms: -6x + -24x = -30x 10 + -30x = -1 + 24x + -24x Combine like terms: 24x + -24x = 0 10 + -30x = -1 + 0 10 + -30x = -1 Add '-10' to each side of the equation. 10 + -10 + -30x = -1 + -10 Combine like terms: 10 + -10 = 0 0 + -30x = -1 + -10 -30x = -1 + -10 Combine like terms: -1 + -10 = -11 -30x = -11 Divide each side by '-30'. x = 0.3666666667 Simplifying x = 0.3666666667
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