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Simplifying 8(x + 6) + -5x = 32 + 7x Reorder the terms: 8(6 + x) + -5x = 32 + 7x (6 * 8 + x * 8) + -5x = 32 + 7x (48 + 8x) + -5x = 32 + 7x Combine like terms: 8x + -5x = 3x 48 + 3x = 32 + 7x Solving 48 + 3x = 32 + 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 + 3x + -7x = 32 + 7x + -7x Combine like terms: 3x + -7x = -4x 48 + -4x = 32 + 7x + -7x Combine like terms: 7x + -7x = 0 48 + -4x = 32 + 0 48 + -4x = 32 Add '-48' to each side of the equation. 48 + -48 + -4x = 32 + -48 Combine like terms: 48 + -48 = 0 0 + -4x = 32 + -48 -4x = 32 + -48 Combine like terms: 32 + -48 = -16 -4x = -16 Divide each side by '-4'. x = 4 Simplifying x = 4
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