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Simplifying 4(3x + -7) + 13 = 3(2x + -5) Reorder the terms: 4(-7 + 3x) + 13 = 3(2x + -5) (-7 * 4 + 3x * 4) + 13 = 3(2x + -5) (-28 + 12x) + 13 = 3(2x + -5) Reorder the terms: -28 + 13 + 12x = 3(2x + -5) Combine like terms: -28 + 13 = -15 -15 + 12x = 3(2x + -5) Reorder the terms: -15 + 12x = 3(-5 + 2x) -15 + 12x = (-5 * 3 + 2x * 3) -15 + 12x = (-15 + 6x) Add '15' to each side of the equation. -15 + 15 + 12x = -15 + 15 + 6x Combine like terms: -15 + 15 = 0 0 + 12x = -15 + 15 + 6x 12x = -15 + 15 + 6x Combine like terms: -15 + 15 = 0 12x = 0 + 6x 12x = 6x Solving 12x = 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. 12x + -6x = 6x + -6x Combine like terms: 12x + -6x = 6x 6x = 6x + -6x Combine like terms: 6x + -6x = 0 6x = 0 Divide each side by '6'. x = 0 Simplifying x = 0
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