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Simplifying 4(x + 12) = -2(3x + 16) Reorder the terms: 4(12 + x) = -2(3x + 16) (12 * 4 + x * 4) = -2(3x + 16) (48 + 4x) = -2(3x + 16) Reorder the terms: 48 + 4x = -2(16 + 3x) 48 + 4x = (16 * -2 + 3x * -2) 48 + 4x = (-32 + -6x) Solving 48 + 4x = -32 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 48 + 4x + 6x = -32 + -6x + 6x Combine like terms: 4x + 6x = 10x 48 + 10x = -32 + -6x + 6x Combine like terms: -6x + 6x = 0 48 + 10x = -32 + 0 48 + 10x = -32 Add '-48' to each side of the equation. 48 + -48 + 10x = -32 + -48 Combine like terms: 48 + -48 = 0 0 + 10x = -32 + -48 10x = -32 + -48 Combine like terms: -32 + -48 = -80 10x = -80 Divide each side by '10'. x = -8 Simplifying x = -8
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