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Simplifying 2.8 = 0.3(x + -2) + 2(0.1x + -0.3) Reorder the terms: 2.8 = 0.3(-2 + x) + 2(0.1x + -0.3) 2.8 = (-2 * 0.3 + x * 0.3) + 2(0.1x + -0.3) 2.8 = (-0.6 + 0.3x) + 2(0.1x + -0.3) Reorder the terms: 2.8 = -0.6 + 0.3x + 2(-0.3 + 0.1x) 2.8 = -0.6 + 0.3x + (-0.3 * 2 + 0.1x * 2) 2.8 = -0.6 + 0.3x + (-0.6 + 0.2x) Reorder the terms: 2.8 = -0.6 + -0.6 + 0.3x + 0.2x Combine like terms: -0.6 + -0.6 = -1.2 2.8 = -1.2 + 0.3x + 0.2x Combine like terms: 0.3x + 0.2x = 0.5x 2.8 = -1.2 + 0.5x Solving 2.8 = -1.2 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. 2.8 + -0.5x = -1.2 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 2.8 + -0.5x = -1.2 + 0.0 2.8 + -0.5x = -1.2 Add '-2.8' to each side of the equation. 2.8 + -2.8 + -0.5x = -1.2 + -2.8 Combine like terms: 2.8 + -2.8 = 0.0 0.0 + -0.5x = -1.2 + -2.8 -0.5x = -1.2 + -2.8 Combine like terms: -1.2 + -2.8 = -4 -0.5x = -4 Divide each side by '-0.5'. x = 8 Simplifying x = 8
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