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Simplifying 8(2x + -6) = 2(4x + 3) Reorder the terms: 8(-6 + 2x) = 2(4x + 3) (-6 * 8 + 2x * 8) = 2(4x + 3) (-48 + 16x) = 2(4x + 3) Reorder the terms: -48 + 16x = 2(3 + 4x) -48 + 16x = (3 * 2 + 4x * 2) -48 + 16x = (6 + 8x) Solving -48 + 16x = 6 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -48 + 16x + -8x = 6 + 8x + -8x Combine like terms: 16x + -8x = 8x -48 + 8x = 6 + 8x + -8x Combine like terms: 8x + -8x = 0 -48 + 8x = 6 + 0 -48 + 8x = 6 Add '48' to each side of the equation. -48 + 48 + 8x = 6 + 48 Combine like terms: -48 + 48 = 0 0 + 8x = 6 + 48 8x = 6 + 48 Combine like terms: 6 + 48 = 54 8x = 54 Divide each side by '8'. x = 6.75 Simplifying x = 6.75
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