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Simplifying 2.6(x + 17) = -0.4(x + -19) Reorder the terms: 2.6(17 + x) = -0.4(x + -19) (17 * 2.6 + x * 2.6) = -0.4(x + -19) (44.2 + 2.6x) = -0.4(x + -19) Reorder the terms: 44.2 + 2.6x = -0.4(-19 + x) 44.2 + 2.6x = (-19 * -0.4 + x * -0.4) 44.2 + 2.6x = (7.6 + -0.4x) Solving 44.2 + 2.6x = 7.6 + -0.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.4x' to each side of the equation. 44.2 + 2.6x + 0.4x = 7.6 + -0.4x + 0.4x Combine like terms: 2.6x + 0.4x = 3x 44.2 + 3x = 7.6 + -0.4x + 0.4x Combine like terms: -0.4x + 0.4x = 0.0 44.2 + 3x = 7.6 + 0.0 44.2 + 3x = 7.6 Add '-44.2' to each side of the equation. 44.2 + -44.2 + 3x = 7.6 + -44.2 Combine like terms: 44.2 + -44.2 = 0.0 0.0 + 3x = 7.6 + -44.2 3x = 7.6 + -44.2 Combine like terms: 7.6 + -44.2 = -36.6 3x = -36.6 Divide each side by '3'. x = -12.2 Simplifying x = -12.2
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