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Simplifying x + 7 = 2(x + -4) Reorder the terms: 7 + x = 2(x + -4) Reorder the terms: 7 + x = 2(-4 + x) 7 + x = (-4 * 2 + x * 2) 7 + x = (-8 + 2x) Solving 7 + x = -8 + 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 + x + -2x = -8 + 2x + -2x Combine like terms: x + -2x = -1x 7 + -1x = -8 + 2x + -2x Combine like terms: 2x + -2x = 0 7 + -1x = -8 + 0 7 + -1x = -8 Add '-7' to each side of the equation. 7 + -7 + -1x = -8 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = -8 + -7 -1x = -8 + -7 Combine like terms: -8 + -7 = -15 -1x = -15 Divide each side by '-1'. x = 15 Simplifying x = 15
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