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Simplifying 5(8x + -3) + 6 = 8(6x + 5) + -25 Reorder the terms: 5(-3 + 8x) + 6 = 8(6x + 5) + -25 (-3 * 5 + 8x * 5) + 6 = 8(6x + 5) + -25 (-15 + 40x) + 6 = 8(6x + 5) + -25 Reorder the terms: -15 + 6 + 40x = 8(6x + 5) + -25 Combine like terms: -15 + 6 = -9 -9 + 40x = 8(6x + 5) + -25 Reorder the terms: -9 + 40x = 8(5 + 6x) + -25 -9 + 40x = (5 * 8 + 6x * 8) + -25 -9 + 40x = (40 + 48x) + -25 Reorder the terms: -9 + 40x = 40 + -25 + 48x Combine like terms: 40 + -25 = 15 -9 + 40x = 15 + 48x Solving -9 + 40x = 15 + 48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48x' to each side of the equation. -9 + 40x + -48x = 15 + 48x + -48x Combine like terms: 40x + -48x = -8x -9 + -8x = 15 + 48x + -48x Combine like terms: 48x + -48x = 0 -9 + -8x = 15 + 0 -9 + -8x = 15 Add '9' to each side of the equation. -9 + 9 + -8x = 15 + 9 Combine like terms: -9 + 9 = 0 0 + -8x = 15 + 9 -8x = 15 + 9 Combine like terms: 15 + 9 = 24 -8x = 24 Divide each side by '-8'. x = -3 Simplifying x = -3
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