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Simplifying 2.5x + 15 + 0.5(x + -4) = 1.2x Reorder the terms: 2.5x + 15 + 0.5(-4 + x) = 1.2x 2.5x + 15 + (-4 * 0.5 + x * 0.5) = 1.2x 2.5x + 15 + (-2 + 0.5x) = 1.2x Reorder the terms: 15 + -2 + 2.5x + 0.5x = 1.2x Combine like terms: 15 + -2 = 13 13 + 2.5x + 0.5x = 1.2x Combine like terms: 2.5x + 0.5x = 3x 13 + 3x = 1.2x Solving 13 + 3x = 1.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.2x' to each side of the equation. 13 + 3x + -1.2x = 1.2x + -1.2x Combine like terms: 3x + -1.2x = 1.8x 13 + 1.8x = 1.2x + -1.2x Combine like terms: 1.2x + -1.2x = 0.0 13 + 1.8x = 0.0 Add '-13' to each side of the equation. 13 + -13 + 1.8x = 0.0 + -13 Combine like terms: 13 + -13 = 0 0 + 1.8x = 0.0 + -13 1.8x = 0.0 + -13 Combine like terms: 0.0 + -13 = -13 1.8x = -13 Divide each side by '1.8'. x = -7.222222222 Simplifying x = -7.222222222
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