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Simplifying 0.5(10x + -4) + 3x = 3(-2x + 4) Reorder the terms: 0.5(-4 + 10x) + 3x = 3(-2x + 4) (-4 * 0.5 + 10x * 0.5) + 3x = 3(-2x + 4) (-2 + 5x) + 3x = 3(-2x + 4) Combine like terms: 5x + 3x = 8x -2 + 8x = 3(-2x + 4) Reorder the terms: -2 + 8x = 3(4 + -2x) -2 + 8x = (4 * 3 + -2x * 3) -2 + 8x = (12 + -6x) Solving -2 + 8x = 12 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -2 + 8x + 6x = 12 + -6x + 6x Combine like terms: 8x + 6x = 14x -2 + 14x = 12 + -6x + 6x Combine like terms: -6x + 6x = 0 -2 + 14x = 12 + 0 -2 + 14x = 12 Add '2' to each side of the equation. -2 + 2 + 14x = 12 + 2 Combine like terms: -2 + 2 = 0 0 + 14x = 12 + 2 14x = 12 + 2 Combine like terms: 12 + 2 = 14 14x = 14 Divide each side by '14'. x = 1 Simplifying x = 1
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