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Simplifying x + -5.6x + -4.9 = -1.5(x + -5) Reorder the terms: -4.9 + x + -5.6x = -1.5(x + -5) Combine like terms: x + -5.6x = -4.6x -4.9 + -4.6x = -1.5(x + -5) Reorder the terms: -4.9 + -4.6x = -1.5(-5 + x) -4.9 + -4.6x = (-5 * -1.5 + x * -1.5) -4.9 + -4.6x = (7.5 + -1.5x) Solving -4.9 + -4.6x = 7.5 + -1.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.5x' to each side of the equation. -4.9 + -4.6x + 1.5x = 7.5 + -1.5x + 1.5x Combine like terms: -4.6x + 1.5x = -3.1x -4.9 + -3.1x = 7.5 + -1.5x + 1.5x Combine like terms: -1.5x + 1.5x = 0.0 -4.9 + -3.1x = 7.5 + 0.0 -4.9 + -3.1x = 7.5 Add '4.9' to each side of the equation. -4.9 + 4.9 + -3.1x = 7.5 + 4.9 Combine like terms: -4.9 + 4.9 = 0.0 0.0 + -3.1x = 7.5 + 4.9 -3.1x = 7.5 + 4.9 Combine like terms: 7.5 + 4.9 = 12.4 -3.1x = 12.4 Divide each side by '-3.1'. x = -4 Simplifying x = -4
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