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Simplifying 4(x + 2) + -7x = 2(x + -16) Reorder the terms: 4(2 + x) + -7x = 2(x + -16) (2 * 4 + x * 4) + -7x = 2(x + -16) (8 + 4x) + -7x = 2(x + -16) Combine like terms: 4x + -7x = -3x 8 + -3x = 2(x + -16) Reorder the terms: 8 + -3x = 2(-16 + x) 8 + -3x = (-16 * 2 + x * 2) 8 + -3x = (-32 + 2x) Solving 8 + -3x = -32 + 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. 8 + -3x + -2x = -32 + 2x + -2x Combine like terms: -3x + -2x = -5x 8 + -5x = -32 + 2x + -2x Combine like terms: 2x + -2x = 0 8 + -5x = -32 + 0 8 + -5x = -32 Add '-8' to each side of the equation. 8 + -8 + -5x = -32 + -8 Combine like terms: 8 + -8 = 0 0 + -5x = -32 + -8 -5x = -32 + -8 Combine like terms: -32 + -8 = -40 -5x = -40 Divide each side by '-5'. x = 8 Simplifying x = 8
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