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Simplifying 0.5(2x + -3) + -8 = 0.3(3x + -4) Reorder the terms: 0.5(-3 + 2x) + -8 = 0.3(3x + -4) (-3 * 0.5 + 2x * 0.5) + -8 = 0.3(3x + -4) (-1.5 + 1x) + -8 = 0.3(3x + -4) Reorder the terms: -1.5 + -8 + 1x = 0.3(3x + -4) Combine like terms: -1.5 + -8 = -9.5 -9.5 + 1x = 0.3(3x + -4) Reorder the terms: -9.5 + 1x = 0.3(-4 + 3x) -9.5 + 1x = (-4 * 0.3 + 3x * 0.3) -9.5 + 1x = (-1.2 + 0.9x) Solving -9.5 + 1x = -1.2 + 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. -9.5 + 1x + -0.9x = -1.2 + 0.9x + -0.9x Combine like terms: 1x + -0.9x = 0.1x -9.5 + 0.1x = -1.2 + 0.9x + -0.9x Combine like terms: 0.9x + -0.9x = 0.0 -9.5 + 0.1x = -1.2 + 0.0 -9.5 + 0.1x = -1.2 Add '9.5' to each side of the equation. -9.5 + 9.5 + 0.1x = -1.2 + 9.5 Combine like terms: -9.5 + 9.5 = 0.0 0.0 + 0.1x = -1.2 + 9.5 0.1x = -1.2 + 9.5 Combine like terms: -1.2 + 9.5 = 8.3 0.1x = 8.3 Divide each side by '0.1'. x = 83 Simplifying x = 83
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