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Simplifying 32(27 + -5.5x) = 16(5x + -7) + 54.4 (27 * 32 + -5.5x * 32) = 16(5x + -7) + 54.4 (864 + -176x) = 16(5x + -7) + 54.4 Reorder the terms: 864 + -176x = 16(-7 + 5x) + 54.4 864 + -176x = (-7 * 16 + 5x * 16) + 54.4 864 + -176x = (-112 + 80x) + 54.4 Reorder the terms: 864 + -176x = -112 + 54.4 + 80x Combine like terms: -112 + 54.4 = -57.6 864 + -176x = -57.6 + 80x Solving 864 + -176x = -57.6 + 80x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-80x' to each side of the equation. 864 + -176x + -80x = -57.6 + 80x + -80x Combine like terms: -176x + -80x = -256x 864 + -256x = -57.6 + 80x + -80x Combine like terms: 80x + -80x = 0 864 + -256x = -57.6 + 0 864 + -256x = -57.6 Add '-864' to each side of the equation. 864 + -864 + -256x = -57.6 + -864 Combine like terms: 864 + -864 = 0 0 + -256x = -57.6 + -864 -256x = -57.6 + -864 Combine like terms: -57.6 + -864 = -921.6 -256x = -921.6 Divide each side by '-256'. x = 3.6 Simplifying x = 3.6
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