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Simplifying 3(2x + -5) + -2(3x + 4) = 8 + -5(x + -7) Reorder the terms: 3(-5 + 2x) + -2(3x + 4) = 8 + -5(x + -7) (-5 * 3 + 2x * 3) + -2(3x + 4) = 8 + -5(x + -7) (-15 + 6x) + -2(3x + 4) = 8 + -5(x + -7) Reorder the terms: -15 + 6x + -2(4 + 3x) = 8 + -5(x + -7) -15 + 6x + (4 * -2 + 3x * -2) = 8 + -5(x + -7) -15 + 6x + (-8 + -6x) = 8 + -5(x + -7) Reorder the terms: -15 + -8 + 6x + -6x = 8 + -5(x + -7) Combine like terms: -15 + -8 = -23 -23 + 6x + -6x = 8 + -5(x + -7) Combine like terms: 6x + -6x = 0 -23 + 0 = 8 + -5(x + -7) -23 = 8 + -5(x + -7) Reorder the terms: -23 = 8 + -5(-7 + x) -23 = 8 + (-7 * -5 + x * -5) -23 = 8 + (35 + -5x) Combine like terms: 8 + 35 = 43 -23 = 43 + -5x Solving -23 = 43 + -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. -23 + 5x = 43 + -5x + 5x Combine like terms: -5x + 5x = 0 -23 + 5x = 43 + 0 -23 + 5x = 43 Add '23' to each side of the equation. -23 + 23 + 5x = 43 + 23 Combine like terms: -23 + 23 = 0 0 + 5x = 43 + 23 5x = 43 + 23 Combine like terms: 43 + 23 = 66 5x = 66 Divide each side by '5'. x = 13.2 Simplifying x = 13.2
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