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Simplifying 4[x + (-7)] = 2(x + -8) 4[x + -7] = 2(x + -8) Reorder the terms: 4[-7 + x] = 2(x + -8) [-7 * 4 + x * 4] = 2(x + -8) [-28 + 4x] = 2(x + -8) Reorder the terms: -28 + 4x = 2(-8 + x) -28 + 4x = (-8 * 2 + x * 2) -28 + 4x = (-16 + 2x) Solving -28 + 4x = -16 + 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. -28 + 4x + -2x = -16 + 2x + -2x Combine like terms: 4x + -2x = 2x -28 + 2x = -16 + 2x + -2x Combine like terms: 2x + -2x = 0 -28 + 2x = -16 + 0 -28 + 2x = -16 Add '28' to each side of the equation. -28 + 28 + 2x = -16 + 28 Combine like terms: -28 + 28 = 0 0 + 2x = -16 + 28 2x = -16 + 28 Combine like terms: -16 + 28 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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