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Simplifying 4(8x + -7) = -8x + 6(5x + -3) Reorder the terms: 4(-7 + 8x) = -8x + 6(5x + -3) (-7 * 4 + 8x * 4) = -8x + 6(5x + -3) (-28 + 32x) = -8x + 6(5x + -3) Reorder the terms: -28 + 32x = -8x + 6(-3 + 5x) -28 + 32x = -8x + (-3 * 6 + 5x * 6) -28 + 32x = -8x + (-18 + 30x) Reorder the terms: -28 + 32x = -18 + -8x + 30x Combine like terms: -8x + 30x = 22x -28 + 32x = -18 + 22x Solving -28 + 32x = -18 + 22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22x' to each side of the equation. -28 + 32x + -22x = -18 + 22x + -22x Combine like terms: 32x + -22x = 10x -28 + 10x = -18 + 22x + -22x Combine like terms: 22x + -22x = 0 -28 + 10x = -18 + 0 -28 + 10x = -18 Add '28' to each side of the equation. -28 + 28 + 10x = -18 + 28 Combine like terms: -28 + 28 = 0 0 + 10x = -18 + 28 10x = -18 + 28 Combine like terms: -18 + 28 = 10 10x = 10 Divide each side by '10'. x = 1 Simplifying x = 1
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