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Simplifying 5x + -3 = 3(2x + -5) Reorder the terms: -3 + 5x = 3(2x + -5) Reorder the terms: -3 + 5x = 3(-5 + 2x) -3 + 5x = (-5 * 3 + 2x * 3) -3 + 5x = (-15 + 6x) Solving -3 + 5x = -15 + 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. -3 + 5x + -6x = -15 + 6x + -6x Combine like terms: 5x + -6x = -1x -3 + -1x = -15 + 6x + -6x Combine like terms: 6x + -6x = 0 -3 + -1x = -15 + 0 -3 + -1x = -15 Add '3' to each side of the equation. -3 + 3 + -1x = -15 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = -15 + 3 -1x = -15 + 3 Combine like terms: -15 + 3 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12
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