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Simplifying 8(4x + -6) = 4(-6x + 2) Reorder the terms: 8(-6 + 4x) = 4(-6x + 2) (-6 * 8 + 4x * 8) = 4(-6x + 2) (-48 + 32x) = 4(-6x + 2) Reorder the terms: -48 + 32x = 4(2 + -6x) -48 + 32x = (2 * 4 + -6x * 4) -48 + 32x = (8 + -24x) Solving -48 + 32x = 8 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. -48 + 32x + 24x = 8 + -24x + 24x Combine like terms: 32x + 24x = 56x -48 + 56x = 8 + -24x + 24x Combine like terms: -24x + 24x = 0 -48 + 56x = 8 + 0 -48 + 56x = 8 Add '48' to each side of the equation. -48 + 48 + 56x = 8 + 48 Combine like terms: -48 + 48 = 0 0 + 56x = 8 + 48 56x = 8 + 48 Combine like terms: 8 + 48 = 56 56x = 56 Divide each side by '56'. x = 1 Simplifying x = 1
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