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Simplifying 12 = 8(x + -6) + 7x Reorder the terms: 12 = 8(-6 + x) + 7x 12 = (-6 * 8 + x * 8) + 7x 12 = (-48 + 8x) + 7x Combine like terms: 8x + 7x = 15x 12 = -48 + 15x Solving 12 = -48 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 12 + -15x = -48 + 15x + -15x Combine like terms: 15x + -15x = 0 12 + -15x = -48 + 0 12 + -15x = -48 Add '-12' to each side of the equation. 12 + -12 + -15x = -48 + -12 Combine like terms: 12 + -12 = 0 0 + -15x = -48 + -12 -15x = -48 + -12 Combine like terms: -48 + -12 = -60 -15x = -60 Divide each side by '-15'. x = 4 Simplifying x = 4
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