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Simplifying 0.5(0.3x + 4) = 0.4(2x + -5) + 2 Reorder the terms: 0.5(4 + 0.3x) = 0.4(2x + -5) + 2 (4 * 0.5 + 0.3x * 0.5) = 0.4(2x + -5) + 2 (2 + 0.15x) = 0.4(2x + -5) + 2 Reorder the terms: 2 + 0.15x = 0.4(-5 + 2x) + 2 2 + 0.15x = (-5 * 0.4 + 2x * 0.4) + 2 2 + 0.15x = (-2 + 0.8x) + 2 Reorder the terms: 2 + 0.15x = -2 + 2 + 0.8x Combine like terms: -2 + 2 = 0 2 + 0.15x = 0 + 0.8x 2 + 0.15x = 0.8x Solving 2 + 0.15x = 0.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.8x' to each side of the equation. 2 + 0.15x + -0.8x = 0.8x + -0.8x Combine like terms: 0.15x + -0.8x = -0.65x 2 + -0.65x = 0.8x + -0.8x Combine like terms: 0.8x + -0.8x = 0.0 2 + -0.65x = 0.0 Add '-2' to each side of the equation. 2 + -2 + -0.65x = 0.0 + -2 Combine like terms: 2 + -2 = 0 0 + -0.65x = 0.0 + -2 -0.65x = 0.0 + -2 Combine like terms: 0.0 + -2 = -2 -0.65x = -2 Divide each side by '-0.65'. x = 3.076923077 Simplifying x = 3.076923077
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