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Simplifying 5(-8x + 39) = -21(27 + 3x) Reorder the terms: 5(39 + -8x) = -21(27 + 3x) (39 * 5 + -8x * 5) = -21(27 + 3x) (195 + -40x) = -21(27 + 3x) 195 + -40x = (27 * -21 + 3x * -21) 195 + -40x = (-567 + -63x) Solving 195 + -40x = -567 + -63x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '63x' to each side of the equation. 195 + -40x + 63x = -567 + -63x + 63x Combine like terms: -40x + 63x = 23x 195 + 23x = -567 + -63x + 63x Combine like terms: -63x + 63x = 0 195 + 23x = -567 + 0 195 + 23x = -567 Add '-195' to each side of the equation. 195 + -195 + 23x = -567 + -195 Combine like terms: 195 + -195 = 0 0 + 23x = -567 + -195 23x = -567 + -195 Combine like terms: -567 + -195 = -762 23x = -762 Divide each side by '23'. x = -33.13043478 Simplifying x = -33.13043478
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