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Simplifying 0.5(3x + 7) + 3.1 = 0.6(3x + -4) Reorder the terms: 0.5(7 + 3x) + 3.1 = 0.6(3x + -4) (7 * 0.5 + 3x * 0.5) + 3.1 = 0.6(3x + -4) (3.5 + 1.5x) + 3.1 = 0.6(3x + -4) Reorder the terms: 3.5 + 3.1 + 1.5x = 0.6(3x + -4) Combine like terms: 3.5 + 3.1 = 6.6 6.6 + 1.5x = 0.6(3x + -4) Reorder the terms: 6.6 + 1.5x = 0.6(-4 + 3x) 6.6 + 1.5x = (-4 * 0.6 + 3x * 0.6) 6.6 + 1.5x = (-2.4 + 1.8x) Solving 6.6 + 1.5x = -2.4 + 1.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.8x' to each side of the equation. 6.6 + 1.5x + -1.8x = -2.4 + 1.8x + -1.8x Combine like terms: 1.5x + -1.8x = -0.3x 6.6 + -0.3x = -2.4 + 1.8x + -1.8x Combine like terms: 1.8x + -1.8x = 0.0 6.6 + -0.3x = -2.4 + 0.0 6.6 + -0.3x = -2.4 Add '-6.6' to each side of the equation. 6.6 + -6.6 + -0.3x = -2.4 + -6.6 Combine like terms: 6.6 + -6.6 = 0.0 0.0 + -0.3x = -2.4 + -6.6 -0.3x = -2.4 + -6.6 Combine like terms: -2.4 + -6.6 = -9 -0.3x = -9 Divide each side by '-0.3'. x = 30 Simplifying x = 30
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