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Simplifying 5(x + -3) + 3x = 12x Reorder the terms: 5(-3 + x) + 3x = 12x (-3 * 5 + x * 5) + 3x = 12x (-15 + 5x) + 3x = 12x Combine like terms: 5x + 3x = 8x -15 + 8x = 12x Solving -15 + 8x = 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -15 + 8x + -12x = 12x + -12x Combine like terms: 8x + -12x = -4x -15 + -4x = 12x + -12x Combine like terms: 12x + -12x = 0 -15 + -4x = 0 Add '15' to each side of the equation. -15 + 15 + -4x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -4x = 0 + 15 -4x = 0 + 15 Combine like terms: 0 + 15 = 15 -4x = 15 Divide each side by '-4'. x = -3.75 Simplifying x = -3.75
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