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Simplifying -7x + 3 = 8(x + 6) Reorder the terms: 3 + -7x = 8(x + 6) Reorder the terms: 3 + -7x = 8(6 + x) 3 + -7x = (6 * 8 + x * 8) 3 + -7x = (48 + 8x) Solving 3 + -7x = 48 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 3 + -7x + -8x = 48 + 8x + -8x Combine like terms: -7x + -8x = -15x 3 + -15x = 48 + 8x + -8x Combine like terms: 8x + -8x = 0 3 + -15x = 48 + 0 3 + -15x = 48 Add '-3' to each side of the equation. 3 + -3 + -15x = 48 + -3 Combine like terms: 3 + -3 = 0 0 + -15x = 48 + -3 -15x = 48 + -3 Combine like terms: 48 + -3 = 45 -15x = 45 Divide each side by '-15'. x = -3 Simplifying x = -3
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