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Simplifying 1.5(4 + -1x) = 1.3(2 + -1x) (4 * 1.5 + -1x * 1.5) = 1.3(2 + -1x) (6 + -1.5x) = 1.3(2 + -1x) 6 + -1.5x = (2 * 1.3 + -1x * 1.3) 6 + -1.5x = (2.6 + -1.3x) Solving 6 + -1.5x = 2.6 + -1.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.3x' to each side of the equation. 6 + -1.5x + 1.3x = 2.6 + -1.3x + 1.3x Combine like terms: -1.5x + 1.3x = -0.2x 6 + -0.2x = 2.6 + -1.3x + 1.3x Combine like terms: -1.3x + 1.3x = 0.0 6 + -0.2x = 2.6 + 0.0 6 + -0.2x = 2.6 Add '-6' to each side of the equation. 6 + -6 + -0.2x = 2.6 + -6 Combine like terms: 6 + -6 = 0 0 + -0.2x = 2.6 + -6 -0.2x = 2.6 + -6 Combine like terms: 2.6 + -6 = -3.4 -0.2x = -3.4 Divide each side by '-0.2'. x = 17 Simplifying x = 17
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