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Simplifying -2.6x + -0.47 = -2.3x + -1.7(2.5 + 2.4x) Reorder the terms: -0.47 + -2.6x = -2.3x + -1.7(2.5 + 2.4x) -0.47 + -2.6x = -2.3x + (2.5 * -1.7 + 2.4x * -1.7) -0.47 + -2.6x = -2.3x + (-4.25 + -4.08x) Reorder the terms: -0.47 + -2.6x = -4.25 + -2.3x + -4.08x Combine like terms: -2.3x + -4.08x = -6.38x -0.47 + -2.6x = -4.25 + -6.38x Solving -0.47 + -2.6x = -4.25 + -6.38x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6.38x' to each side of the equation. -0.47 + -2.6x + 6.38x = -4.25 + -6.38x + 6.38x Combine like terms: -2.6x + 6.38x = 3.78x -0.47 + 3.78x = -4.25 + -6.38x + 6.38x Combine like terms: -6.38x + 6.38x = 0.00 -0.47 + 3.78x = -4.25 + 0.00 -0.47 + 3.78x = -4.25 Add '0.47' to each side of the equation. -0.47 + 0.47 + 3.78x = -4.25 + 0.47 Combine like terms: -0.47 + 0.47 = 0.00 0.00 + 3.78x = -4.25 + 0.47 3.78x = -4.25 + 0.47 Combine like terms: -4.25 + 0.47 = -3.78 3.78x = -3.78 Divide each side by '3.78'. x = -1 Simplifying x = -1
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