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Simplifying 2(3x + -2) + 3 = 0.2(5x + 15) + -5 Reorder the terms: 2(-2 + 3x) + 3 = 0.2(5x + 15) + -5 (-2 * 2 + 3x * 2) + 3 = 0.2(5x + 15) + -5 (-4 + 6x) + 3 = 0.2(5x + 15) + -5 Reorder the terms: -4 + 3 + 6x = 0.2(5x + 15) + -5 Combine like terms: -4 + 3 = -1 -1 + 6x = 0.2(5x + 15) + -5 Reorder the terms: -1 + 6x = 0.2(15 + 5x) + -5 -1 + 6x = (15 * 0.2 + 5x * 0.2) + -5 -1 + 6x = (3 + 1x) + -5 Reorder the terms: -1 + 6x = 3 + -5 + 1x Combine like terms: 3 + -5 = -2 -1 + 6x = -2 + 1x Solving -1 + 6x = -2 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -1 + 6x + -1x = -2 + 1x + -1x Combine like terms: 6x + -1x = 5x -1 + 5x = -2 + 1x + -1x Combine like terms: 1x + -1x = 0 -1 + 5x = -2 + 0 -1 + 5x = -2 Add '1' to each side of the equation. -1 + 1 + 5x = -2 + 1 Combine like terms: -1 + 1 = 0 0 + 5x = -2 + 1 5x = -2 + 1 Combine like terms: -2 + 1 = -1 5x = -1 Divide each side by '5'. x = -0.2 Simplifying x = -0.2
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