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Simplifying 4x + 126 = -18 + -2(x + -66) Reorder the terms: 126 + 4x = -18 + -2(x + -66) Reorder the terms: 126 + 4x = -18 + -2(-66 + x) 126 + 4x = -18 + (-66 * -2 + x * -2) 126 + 4x = -18 + (132 + -2x) Combine like terms: -18 + 132 = 114 126 + 4x = 114 + -2x Solving 126 + 4x = 114 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 126 + 4x + 2x = 114 + -2x + 2x Combine like terms: 4x + 2x = 6x 126 + 6x = 114 + -2x + 2x Combine like terms: -2x + 2x = 0 126 + 6x = 114 + 0 126 + 6x = 114 Add '-126' to each side of the equation. 126 + -126 + 6x = 114 + -126 Combine like terms: 126 + -126 = 0 0 + 6x = 114 + -126 6x = 114 + -126 Combine like terms: 114 + -126 = -12 6x = -12 Divide each side by '6'. x = -2 Simplifying x = -2
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