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Simplifying 0.4(5 + 2x) + -5 = 3(0.3x + 0.7) (5 * 0.4 + 2x * 0.4) + -5 = 3(0.3x + 0.7) (2 + 0.8x) + -5 = 3(0.3x + 0.7) Reorder the terms: 2 + -5 + 0.8x = 3(0.3x + 0.7) Combine like terms: 2 + -5 = -3 -3 + 0.8x = 3(0.3x + 0.7) Reorder the terms: -3 + 0.8x = 3(0.7 + 0.3x) -3 + 0.8x = (0.7 * 3 + 0.3x * 3) -3 + 0.8x = (2.1 + 0.9x) Solving -3 + 0.8x = 2.1 + 0.9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.9x' to each side of the equation. -3 + 0.8x + -0.9x = 2.1 + 0.9x + -0.9x Combine like terms: 0.8x + -0.9x = -0.1x -3 + -0.1x = 2.1 + 0.9x + -0.9x Combine like terms: 0.9x + -0.9x = 0.0 -3 + -0.1x = 2.1 + 0.0 -3 + -0.1x = 2.1 Add '3' to each side of the equation. -3 + 3 + -0.1x = 2.1 + 3 Combine like terms: -3 + 3 = 0 0 + -0.1x = 2.1 + 3 -0.1x = 2.1 + 3 Combine like terms: 2.1 + 3 = 5.1 -0.1x = 5.1 Divide each side by '-0.1'. x = -51 Simplifying x = -51
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