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Simplifying 4.3(2.5x + -3.1) = 4.2x + 6(x + -4) Reorder the terms: 4.3(-3.1 + 2.5x) = 4.2x + 6(x + -4) (-3.1 * 4.3 + 2.5x * 4.3) = 4.2x + 6(x + -4) (-13.33 + 10.75x) = 4.2x + 6(x + -4) Reorder the terms: -13.33 + 10.75x = 4.2x + 6(-4 + x) -13.33 + 10.75x = 4.2x + (-4 * 6 + x * 6) -13.33 + 10.75x = 4.2x + (-24 + 6x) Reorder the terms: -13.33 + 10.75x = -24 + 4.2x + 6x Combine like terms: 4.2x + 6x = 10.2x -13.33 + 10.75x = -24 + 10.2x Solving -13.33 + 10.75x = -24 + 10.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10.2x' to each side of the equation. -13.33 + 10.75x + -10.2x = -24 + 10.2x + -10.2x Combine like terms: 10.75x + -10.2x = 0.55x -13.33 + 0.55x = -24 + 10.2x + -10.2x Combine like terms: 10.2x + -10.2x = 0.0 -13.33 + 0.55x = -24 + 0.0 -13.33 + 0.55x = -24 Add '13.33' to each side of the equation. -13.33 + 13.33 + 0.55x = -24 + 13.33 Combine like terms: -13.33 + 13.33 = 0.00 0.00 + 0.55x = -24 + 13.33 0.55x = -24 + 13.33 Combine like terms: -24 + 13.33 = -10.67 0.55x = -10.67 Divide each side by '0.55'. x = -19.4 Simplifying x = -19.4
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