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Simplifying 7(x + -8) = 10(3x + -2) Reorder the terms: 7(-8 + x) = 10(3x + -2) (-8 * 7 + x * 7) = 10(3x + -2) (-56 + 7x) = 10(3x + -2) Reorder the terms: -56 + 7x = 10(-2 + 3x) -56 + 7x = (-2 * 10 + 3x * 10) -56 + 7x = (-20 + 30x) Solving -56 + 7x = -20 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. -56 + 7x + -30x = -20 + 30x + -30x Combine like terms: 7x + -30x = -23x -56 + -23x = -20 + 30x + -30x Combine like terms: 30x + -30x = 0 -56 + -23x = -20 + 0 -56 + -23x = -20 Add '56' to each side of the equation. -56 + 56 + -23x = -20 + 56 Combine like terms: -56 + 56 = 0 0 + -23x = -20 + 56 -23x = -20 + 56 Combine like terms: -20 + 56 = 36 -23x = 36 Divide each side by '-23'. x = -1.565217391 Simplifying x = -1.565217391
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