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Simplifying 4(5x + -2) = 7 + -1(4 + -3x) Reorder the terms: 4(-2 + 5x) = 7 + -1(4 + -3x) (-2 * 4 + 5x * 4) = 7 + -1(4 + -3x) (-8 + 20x) = 7 + -1(4 + -3x) -8 + 20x = 7 + (4 * -1 + -3x * -1) -8 + 20x = 7 + (-4 + 3x) Combine like terms: 7 + -4 = 3 -8 + 20x = 3 + 3x Solving -8 + 20x = 3 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -8 + 20x + -3x = 3 + 3x + -3x Combine like terms: 20x + -3x = 17x -8 + 17x = 3 + 3x + -3x Combine like terms: 3x + -3x = 0 -8 + 17x = 3 + 0 -8 + 17x = 3 Add '8' to each side of the equation. -8 + 8 + 17x = 3 + 8 Combine like terms: -8 + 8 = 0 0 + 17x = 3 + 8 17x = 3 + 8 Combine like terms: 3 + 8 = 11 17x = 11 Divide each side by '17'. x = 0.6470588235 Simplifying x = 0.6470588235
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