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Simplifying 5(2x + -3) + -6x = 0.5(4x + -10) Reorder the terms: 5(-3 + 2x) + -6x = 0.5(4x + -10) (-3 * 5 + 2x * 5) + -6x = 0.5(4x + -10) (-15 + 10x) + -6x = 0.5(4x + -10) Combine like terms: 10x + -6x = 4x -15 + 4x = 0.5(4x + -10) Reorder the terms: -15 + 4x = 0.5(-10 + 4x) -15 + 4x = (-10 * 0.5 + 4x * 0.5) -15 + 4x = (-5 + 2x) Solving -15 + 4x = -5 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -15 + 4x + -2x = -5 + 2x + -2x Combine like terms: 4x + -2x = 2x -15 + 2x = -5 + 2x + -2x Combine like terms: 2x + -2x = 0 -15 + 2x = -5 + 0 -15 + 2x = -5 Add '15' to each side of the equation. -15 + 15 + 2x = -5 + 15 Combine like terms: -15 + 15 = 0 0 + 2x = -5 + 15 2x = -5 + 15 Combine like terms: -5 + 15 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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