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Simplifying 2.5x + -1.3(x + -2) = 2x + -3 Reorder the terms: 2.5x + -1.3(-2 + x) = 2x + -3 2.5x + (-2 * -1.3 + x * -1.3) = 2x + -3 2.5x + (2.6 + -1.3x) = 2x + -3 Reorder the terms: 2.6 + 2.5x + -1.3x = 2x + -3 Combine like terms: 2.5x + -1.3x = 1.2x 2.6 + 1.2x = 2x + -3 Reorder the terms: 2.6 + 1.2x = -3 + 2x Solving 2.6 + 1.2x = -3 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 2.6 + 1.2x + -2x = -3 + 2x + -2x Combine like terms: 1.2x + -2x = -0.8x 2.6 + -0.8x = -3 + 2x + -2x Combine like terms: 2x + -2x = 0 2.6 + -0.8x = -3 + 0 2.6 + -0.8x = -3 Add '-2.6' to each side of the equation. 2.6 + -2.6 + -0.8x = -3 + -2.6 Combine like terms: 2.6 + -2.6 = 0.0 0.0 + -0.8x = -3 + -2.6 -0.8x = -3 + -2.6 Combine like terms: -3 + -2.6 = -5.6 -0.8x = -5.6 Divide each side by '-0.8'. x = 7 Simplifying x = 7
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