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Simplifying 1.3(2x + -5) + -3.5 = 2.1(2x + -4) Reorder the terms: 1.3(-5 + 2x) + -3.5 = 2.1(2x + -4) (-5 * 1.3 + 2x * 1.3) + -3.5 = 2.1(2x + -4) (-6.5 + 2.6x) + -3.5 = 2.1(2x + -4) Reorder the terms: -6.5 + -3.5 + 2.6x = 2.1(2x + -4) Combine like terms: -6.5 + -3.5 = -10 -10 + 2.6x = 2.1(2x + -4) Reorder the terms: -10 + 2.6x = 2.1(-4 + 2x) -10 + 2.6x = (-4 * 2.1 + 2x * 2.1) -10 + 2.6x = (-8.4 + 4.2x) Solving -10 + 2.6x = -8.4 + 4.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.2x' to each side of the equation. -10 + 2.6x + -4.2x = -8.4 + 4.2x + -4.2x Combine like terms: 2.6x + -4.2x = -1.6x -10 + -1.6x = -8.4 + 4.2x + -4.2x Combine like terms: 4.2x + -4.2x = 0.0 -10 + -1.6x = -8.4 + 0.0 -10 + -1.6x = -8.4 Add '10' to each side of the equation. -10 + 10 + -1.6x = -8.4 + 10 Combine like terms: -10 + 10 = 0 0 + -1.6x = -8.4 + 10 -1.6x = -8.4 + 10 Combine like terms: -8.4 + 10 = 1.6 -1.6x = 1.6 Divide each side by '-1.6'. x = -1 Simplifying x = -1
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