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Simplifying -1.3(2x + -5) = 0.7(3 + -1x) Reorder the terms: -1.3(-5 + 2x) = 0.7(3 + -1x) (-5 * -1.3 + 2x * -1.3) = 0.7(3 + -1x) (6.5 + -2.6x) = 0.7(3 + -1x) 6.5 + -2.6x = (3 * 0.7 + -1x * 0.7) 6.5 + -2.6x = (2.1 + -0.7x) Solving 6.5 + -2.6x = 2.1 + -0.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.7x' to each side of the equation. 6.5 + -2.6x + 0.7x = 2.1 + -0.7x + 0.7x Combine like terms: -2.6x + 0.7x = -1.9x 6.5 + -1.9x = 2.1 + -0.7x + 0.7x Combine like terms: -0.7x + 0.7x = 0.0 6.5 + -1.9x = 2.1 + 0.0 6.5 + -1.9x = 2.1 Add '-6.5' to each side of the equation. 6.5 + -6.5 + -1.9x = 2.1 + -6.5 Combine like terms: 6.5 + -6.5 = 0.0 0.0 + -1.9x = 2.1 + -6.5 -1.9x = 2.1 + -6.5 Combine like terms: 2.1 + -6.5 = -4.4 -1.9x = -4.4 Divide each side by '-1.9'. x = 2.315789474 Simplifying x = 2.315789474
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