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Simplifying 1.3(x + -2) = 1.5(x + 4) + 2 Reorder the terms: 1.3(-2 + x) = 1.5(x + 4) + 2 (-2 * 1.3 + x * 1.3) = 1.5(x + 4) + 2 (-2.6 + 1.3x) = 1.5(x + 4) + 2 Reorder the terms: -2.6 + 1.3x = 1.5(4 + x) + 2 -2.6 + 1.3x = (4 * 1.5 + x * 1.5) + 2 -2.6 + 1.3x = (6 + 1.5x) + 2 Reorder the terms: -2.6 + 1.3x = 6 + 2 + 1.5x Combine like terms: 6 + 2 = 8 -2.6 + 1.3x = 8 + 1.5x Solving -2.6 + 1.3x = 8 + 1.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5x' to each side of the equation. -2.6 + 1.3x + -1.5x = 8 + 1.5x + -1.5x Combine like terms: 1.3x + -1.5x = -0.2x -2.6 + -0.2x = 8 + 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 -2.6 + -0.2x = 8 + 0.0 -2.6 + -0.2x = 8 Add '2.6' to each side of the equation. -2.6 + 2.6 + -0.2x = 8 + 2.6 Combine like terms: -2.6 + 2.6 = 0.0 0.0 + -0.2x = 8 + 2.6 -0.2x = 8 + 2.6 Combine like terms: 8 + 2.6 = 10.6 -0.2x = 10.6 Divide each side by '-0.2'. x = -53 Simplifying x = -53
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