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Simplifying 4(x + 8) = 6(x + -8) Reorder the terms: 4(8 + x) = 6(x + -8) (8 * 4 + x * 4) = 6(x + -8) (32 + 4x) = 6(x + -8) Reorder the terms: 32 + 4x = 6(-8 + x) 32 + 4x = (-8 * 6 + x * 6) 32 + 4x = (-48 + 6x) Solving 32 + 4x = -48 + 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. 32 + 4x + -6x = -48 + 6x + -6x Combine like terms: 4x + -6x = -2x 32 + -2x = -48 + 6x + -6x Combine like terms: 6x + -6x = 0 32 + -2x = -48 + 0 32 + -2x = -48 Add '-32' to each side of the equation. 32 + -32 + -2x = -48 + -32 Combine like terms: 32 + -32 = 0 0 + -2x = -48 + -32 -2x = -48 + -32 Combine like terms: -48 + -32 = -80 -2x = -80 Divide each side by '-2'. x = 40 Simplifying x = 40
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