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Simplifying -6(x + -8) + 10x = 7x + 39 Reorder the terms: -6(-8 + x) + 10x = 7x + 39 (-8 * -6 + x * -6) + 10x = 7x + 39 (48 + -6x) + 10x = 7x + 39 Combine like terms: -6x + 10x = 4x 48 + 4x = 7x + 39 Reorder the terms: 48 + 4x = 39 + 7x Solving 48 + 4x = 39 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 48 + 4x + -7x = 39 + 7x + -7x Combine like terms: 4x + -7x = -3x 48 + -3x = 39 + 7x + -7x Combine like terms: 7x + -7x = 0 48 + -3x = 39 + 0 48 + -3x = 39 Add '-48' to each side of the equation. 48 + -48 + -3x = 39 + -48 Combine like terms: 48 + -48 = 0 0 + -3x = 39 + -48 -3x = 39 + -48 Combine like terms: 39 + -48 = -9 -3x = -9 Divide each side by '-3'. x = 3 Simplifying x = 3
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