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Simplifying 0.6(10x + -2) + 3 = 2 + -1(3x + 4) Reorder the terms: 0.6(-2 + 10x) + 3 = 2 + -1(3x + 4) (-2 * 0.6 + 10x * 0.6) + 3 = 2 + -1(3x + 4) (-1.2 + 6x) + 3 = 2 + -1(3x + 4) Reorder the terms: -1.2 + 3 + 6x = 2 + -1(3x + 4) Combine like terms: -1.2 + 3 = 1.8 1.8 + 6x = 2 + -1(3x + 4) Reorder the terms: 1.8 + 6x = 2 + -1(4 + 3x) 1.8 + 6x = 2 + (4 * -1 + 3x * -1) 1.8 + 6x = 2 + (-4 + -3x) Combine like terms: 2 + -4 = -2 1.8 + 6x = -2 + -3x Solving 1.8 + 6x = -2 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 1.8 + 6x + 3x = -2 + -3x + 3x Combine like terms: 6x + 3x = 9x 1.8 + 9x = -2 + -3x + 3x Combine like terms: -3x + 3x = 0 1.8 + 9x = -2 + 0 1.8 + 9x = -2 Add '-1.8' to each side of the equation. 1.8 + -1.8 + 9x = -2 + -1.8 Combine like terms: 1.8 + -1.8 = 0.0 0.0 + 9x = -2 + -1.8 9x = -2 + -1.8 Combine like terms: -2 + -1.8 = -3.8 9x = -3.8 Divide each side by '9'. x = -0.4222222222 Simplifying x = -0.4222222222
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