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Simplifying 32 + 4x = 2x + 6(2x + -8) Reorder the terms: 32 + 4x = 2x + 6(-8 + 2x) 32 + 4x = 2x + (-8 * 6 + 2x * 6) 32 + 4x = 2x + (-48 + 12x) Reorder the terms: 32 + 4x = -48 + 2x + 12x Combine like terms: 2x + 12x = 14x 32 + 4x = -48 + 14x Solving 32 + 4x = -48 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 32 + 4x + -14x = -48 + 14x + -14x Combine like terms: 4x + -14x = -10x 32 + -10x = -48 + 14x + -14x Combine like terms: 14x + -14x = 0 32 + -10x = -48 + 0 32 + -10x = -48 Add '-32' to each side of the equation. 32 + -32 + -10x = -48 + -32 Combine like terms: 32 + -32 = 0 0 + -10x = -48 + -32 -10x = -48 + -32 Combine like terms: -48 + -32 = -80 -10x = -80 Divide each side by '-10'. x = 8 Simplifying x = 8
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