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Simplifying 4x + 7 = 2(x + -9) + 1 Reorder the terms: 7 + 4x = 2(x + -9) + 1 Reorder the terms: 7 + 4x = 2(-9 + x) + 1 7 + 4x = (-9 * 2 + x * 2) + 1 7 + 4x = (-18 + 2x) + 1 Reorder the terms: 7 + 4x = -18 + 1 + 2x Combine like terms: -18 + 1 = -17 7 + 4x = -17 + 2x Solving 7 + 4x = -17 + 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. 7 + 4x + -2x = -17 + 2x + -2x Combine like terms: 4x + -2x = 2x 7 + 2x = -17 + 2x + -2x Combine like terms: 2x + -2x = 0 7 + 2x = -17 + 0 7 + 2x = -17 Add '-7' to each side of the equation. 7 + -7 + 2x = -17 + -7 Combine like terms: 7 + -7 = 0 0 + 2x = -17 + -7 2x = -17 + -7 Combine like terms: -17 + -7 = -24 2x = -24 Divide each side by '2'. x = -12 Simplifying x = -12
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