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Simplifying 0.5(2 + -3x) = 1.5 + -0.1(x + 7) (2 * 0.5 + -3x * 0.5) = 1.5 + -0.1(x + 7) (1 + -1.5x) = 1.5 + -0.1(x + 7) Reorder the terms: 1 + -1.5x = 1.5 + -0.1(7 + x) 1 + -1.5x = 1.5 + (7 * -0.1 + x * -0.1) 1 + -1.5x = 1.5 + (-0.7 + -0.1x) Combine like terms: 1.5 + -0.7 = 0.8 1 + -1.5x = 0.8 + -0.1x Solving 1 + -1.5x = 0.8 + -0.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.1x' to each side of the equation. 1 + -1.5x + 0.1x = 0.8 + -0.1x + 0.1x Combine like terms: -1.5x + 0.1x = -1.4x 1 + -1.4x = 0.8 + -0.1x + 0.1x Combine like terms: -0.1x + 0.1x = 0.0 1 + -1.4x = 0.8 + 0.0 1 + -1.4x = 0.8 Add '-1' to each side of the equation. 1 + -1 + -1.4x = 0.8 + -1 Combine like terms: 1 + -1 = 0 0 + -1.4x = 0.8 + -1 -1.4x = 0.8 + -1 Combine like terms: 0.8 + -1 = -0.2 -1.4x = -0.2 Divide each side by '-1.4'. x = 0.1428571429 Simplifying x = 0.1428571429
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