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Simplifying 5(2x + -3) + 3x = 15x + -3(x + 5) Reorder the terms: 5(-3 + 2x) + 3x = 15x + -3(x + 5) (-3 * 5 + 2x * 5) + 3x = 15x + -3(x + 5) (-15 + 10x) + 3x = 15x + -3(x + 5) Combine like terms: 10x + 3x = 13x -15 + 13x = 15x + -3(x + 5) Reorder the terms: -15 + 13x = 15x + -3(5 + x) -15 + 13x = 15x + (5 * -3 + x * -3) -15 + 13x = 15x + (-15 + -3x) Reorder the terms: -15 + 13x = -15 + 15x + -3x Combine like terms: 15x + -3x = 12x -15 + 13x = -15 + 12x Add '15' to each side of the equation. -15 + 15 + 13x = -15 + 15 + 12x Combine like terms: -15 + 15 = 0 0 + 13x = -15 + 15 + 12x 13x = -15 + 15 + 12x Combine like terms: -15 + 15 = 0 13x = 0 + 12x 13x = 12x Solving 13x = 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. 13x + -12x = 12x + -12x Combine like terms: 13x + -12x = 1x 1x = 12x + -12x Combine like terms: 12x + -12x = 0 1x = 0 Divide each side by '1'. x = 0 Simplifying x = 0
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