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Simplifying 7(x + -3) = 2(5x + -8) Reorder the terms: 7(-3 + x) = 2(5x + -8) (-3 * 7 + x * 7) = 2(5x + -8) (-21 + 7x) = 2(5x + -8) Reorder the terms: -21 + 7x = 2(-8 + 5x) -21 + 7x = (-8 * 2 + 5x * 2) -21 + 7x = (-16 + 10x) Solving -21 + 7x = -16 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -21 + 7x + -10x = -16 + 10x + -10x Combine like terms: 7x + -10x = -3x -21 + -3x = -16 + 10x + -10x Combine like terms: 10x + -10x = 0 -21 + -3x = -16 + 0 -21 + -3x = -16 Add '21' to each side of the equation. -21 + 21 + -3x = -16 + 21 Combine like terms: -21 + 21 = 0 0 + -3x = -16 + 21 -3x = -16 + 21 Combine like terms: -16 + 21 = 5 -3x = 5 Divide each side by '-3'. x = -1.666666667 Simplifying x = -1.666666667
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