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Simplifying 5(2x + -3) + -4x = 2x + -12 Reorder the terms: 5(-3 + 2x) + -4x = 2x + -12 (-3 * 5 + 2x * 5) + -4x = 2x + -12 (-15 + 10x) + -4x = 2x + -12 Combine like terms: 10x + -4x = 6x -15 + 6x = 2x + -12 Reorder the terms: -15 + 6x = -12 + 2x Solving -15 + 6x = -12 + 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 + 6x + -2x = -12 + 2x + -2x Combine like terms: 6x + -2x = 4x -15 + 4x = -12 + 2x + -2x Combine like terms: 2x + -2x = 0 -15 + 4x = -12 + 0 -15 + 4x = -12 Add '15' to each side of the equation. -15 + 15 + 4x = -12 + 15 Combine like terms: -15 + 15 = 0 0 + 4x = -12 + 15 4x = -12 + 15 Combine like terms: -12 + 15 = 3 4x = 3 Divide each side by '4'. x = 0.75 Simplifying x = 0.75
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