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Simplifying 5(2.5x + 7) = 6(1.1x + -4) Reorder the terms: 5(7 + 2.5x) = 6(1.1x + -4) (7 * 5 + 2.5x * 5) = 6(1.1x + -4) (35 + 12.5x) = 6(1.1x + -4) Reorder the terms: 35 + 12.5x = 6(-4 + 1.1x) 35 + 12.5x = (-4 * 6 + 1.1x * 6) 35 + 12.5x = (-24 + 6.6x) Solving 35 + 12.5x = -24 + 6.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6.6x' to each side of the equation. 35 + 12.5x + -6.6x = -24 + 6.6x + -6.6x Combine like terms: 12.5x + -6.6x = 5.9x 35 + 5.9x = -24 + 6.6x + -6.6x Combine like terms: 6.6x + -6.6x = 0.0 35 + 5.9x = -24 + 0.0 35 + 5.9x = -24 Add '-35' to each side of the equation. 35 + -35 + 5.9x = -24 + -35 Combine like terms: 35 + -35 = 0 0 + 5.9x = -24 + -35 5.9x = -24 + -35 Combine like terms: -24 + -35 = -59 5.9x = -59 Divide each side by '5.9'. x = -10 Simplifying x = -10
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