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Simplifying -6x + -40(x + 3) = (5x + 6) Reorder the terms: -6x + -40(3 + x) = (5x + 6) -6x + (3 * -40 + x * -40) = (5x + 6) -6x + (-120 + -40x) = (5x + 6) Reorder the terms: -120 + -6x + -40x = (5x + 6) Combine like terms: -6x + -40x = -46x -120 + -46x = (5x + 6) Reorder the terms: -120 + -46x = (6 + 5x) Remove parenthesis around (6 + 5x) -120 + -46x = 6 + 5x Solving -120 + -46x = 6 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -120 + -46x + -5x = 6 + 5x + -5x Combine like terms: -46x + -5x = -51x -120 + -51x = 6 + 5x + -5x Combine like terms: 5x + -5x = 0 -120 + -51x = 6 + 0 -120 + -51x = 6 Add '120' to each side of the equation. -120 + 120 + -51x = 6 + 120 Combine like terms: -120 + 120 = 0 0 + -51x = 6 + 120 -51x = 6 + 120 Combine like terms: 6 + 120 = 126 -51x = 126 Divide each side by '-51'. x = -2.470588235 Simplifying x = -2.470588235
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