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Simplifying 4(x + -7) + 12 = 2(x + -7) Reorder the terms: 4(-7 + x) + 12 = 2(x + -7) (-7 * 4 + x * 4) + 12 = 2(x + -7) (-28 + 4x) + 12 = 2(x + -7) Reorder the terms: -28 + 12 + 4x = 2(x + -7) Combine like terms: -28 + 12 = -16 -16 + 4x = 2(x + -7) Reorder the terms: -16 + 4x = 2(-7 + x) -16 + 4x = (-7 * 2 + x * 2) -16 + 4x = (-14 + 2x) Solving -16 + 4x = -14 + 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. -16 + 4x + -2x = -14 + 2x + -2x Combine like terms: 4x + -2x = 2x -16 + 2x = -14 + 2x + -2x Combine like terms: 2x + -2x = 0 -16 + 2x = -14 + 0 -16 + 2x = -14 Add '16' to each side of the equation. -16 + 16 + 2x = -14 + 16 Combine like terms: -16 + 16 = 0 0 + 2x = -14 + 16 2x = -14 + 16 Combine like terms: -14 + 16 = 2 2x = 2 Divide each side by '2'. x = 1 Simplifying x = 1
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