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Simplifying 0.5(10x + 6) + -2(5x + 3) = 4(2x + -3) Reorder the terms: 0.5(6 + 10x) + -2(5x + 3) = 4(2x + -3) (6 * 0.5 + 10x * 0.5) + -2(5x + 3) = 4(2x + -3) (3 + 5x) + -2(5x + 3) = 4(2x + -3) Reorder the terms: 3 + 5x + -2(3 + 5x) = 4(2x + -3) 3 + 5x + (3 * -2 + 5x * -2) = 4(2x + -3) 3 + 5x + (-6 + -10x) = 4(2x + -3) Reorder the terms: 3 + -6 + 5x + -10x = 4(2x + -3) Combine like terms: 3 + -6 = -3 -3 + 5x + -10x = 4(2x + -3) Combine like terms: 5x + -10x = -5x -3 + -5x = 4(2x + -3) Reorder the terms: -3 + -5x = 4(-3 + 2x) -3 + -5x = (-3 * 4 + 2x * 4) -3 + -5x = (-12 + 8x) Solving -3 + -5x = -12 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -3 + -5x + -8x = -12 + 8x + -8x Combine like terms: -5x + -8x = -13x -3 + -13x = -12 + 8x + -8x Combine like terms: 8x + -8x = 0 -3 + -13x = -12 + 0 -3 + -13x = -12 Add '3' to each side of the equation. -3 + 3 + -13x = -12 + 3 Combine like terms: -3 + 3 = 0 0 + -13x = -12 + 3 -13x = -12 + 3 Combine like terms: -12 + 3 = -9 -13x = -9 Divide each side by '-13'. x = 0.6923076923 Simplifying x = 0.6923076923
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