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Simplifying 4(-6 + x) + 7 = -3 + 2(1 + 6x) (-6 * 4 + x * 4) + 7 = -3 + 2(1 + 6x) (-24 + 4x) + 7 = -3 + 2(1 + 6x) Reorder the terms: -24 + 7 + 4x = -3 + 2(1 + 6x) Combine like terms: -24 + 7 = -17 -17 + 4x = -3 + 2(1 + 6x) -17 + 4x = -3 + (1 * 2 + 6x * 2) -17 + 4x = -3 + (2 + 12x) Combine like terms: -3 + 2 = -1 -17 + 4x = -1 + 12x Solving -17 + 4x = -1 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -17 + 4x + -12x = -1 + 12x + -12x Combine like terms: 4x + -12x = -8x -17 + -8x = -1 + 12x + -12x Combine like terms: 12x + -12x = 0 -17 + -8x = -1 + 0 -17 + -8x = -1 Add '17' to each side of the equation. -17 + 17 + -8x = -1 + 17 Combine like terms: -17 + 17 = 0 0 + -8x = -1 + 17 -8x = -1 + 17 Combine like terms: -1 + 17 = 16 -8x = 16 Divide each side by '-8'. x = -2 Simplifying x = -2
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