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Simplifying 1.3(x + -0.3) + 0.2x = 0.7(x + -0.7) + 1.62 Reorder the terms: 1.3(-0.3 + x) + 0.2x = 0.7(x + -0.7) + 1.62 (-0.3 * 1.3 + x * 1.3) + 0.2x = 0.7(x + -0.7) + 1.62 (-0.39 + 1.3x) + 0.2x = 0.7(x + -0.7) + 1.62 Combine like terms: 1.3x + 0.2x = 1.5x -0.39 + 1.5x = 0.7(x + -0.7) + 1.62 Reorder the terms: -0.39 + 1.5x = 0.7(-0.7 + x) + 1.62 -0.39 + 1.5x = (-0.7 * 0.7 + x * 0.7) + 1.62 -0.39 + 1.5x = (-0.49 + 0.7x) + 1.62 Reorder the terms: -0.39 + 1.5x = -0.49 + 1.62 + 0.7x Combine like terms: -0.49 + 1.62 = 1.13 -0.39 + 1.5x = 1.13 + 0.7x Solving -0.39 + 1.5x = 1.13 + 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. -0.39 + 1.5x + -0.7x = 1.13 + 0.7x + -0.7x Combine like terms: 1.5x + -0.7x = 0.8x -0.39 + 0.8x = 1.13 + 0.7x + -0.7x Combine like terms: 0.7x + -0.7x = 0.0 -0.39 + 0.8x = 1.13 + 0.0 -0.39 + 0.8x = 1.13 Add '0.39' to each side of the equation. -0.39 + 0.39 + 0.8x = 1.13 + 0.39 Combine like terms: -0.39 + 0.39 = 0.00 0.00 + 0.8x = 1.13 + 0.39 0.8x = 1.13 + 0.39 Combine like terms: 1.13 + 0.39 = 1.52 0.8x = 1.52 Divide each side by '0.8'. x = 1.9 Simplifying x = 1.9
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