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Simplifying 4(x + 6) + -7 = x + -4 Reorder the terms: 4(6 + x) + -7 = x + -4 (6 * 4 + x * 4) + -7 = x + -4 (24 + 4x) + -7 = x + -4 Reorder the terms: 24 + -7 + 4x = x + -4 Combine like terms: 24 + -7 = 17 17 + 4x = x + -4 Reorder the terms: 17 + 4x = -4 + x Solving 17 + 4x = -4 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 17 + 4x + -1x = -4 + x + -1x Combine like terms: 4x + -1x = 3x 17 + 3x = -4 + x + -1x Combine like terms: x + -1x = 0 17 + 3x = -4 + 0 17 + 3x = -4 Add '-17' to each side of the equation. 17 + -17 + 3x = -4 + -17 Combine like terms: 17 + -17 = 0 0 + 3x = -4 + -17 3x = -4 + -17 Combine like terms: -4 + -17 = -21 3x = -21 Divide each side by '3'. x = -7 Simplifying x = -7
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