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Simplifying 3x + 13 = 5(-3 + 2x) Reorder the terms: 13 + 3x = 5(-3 + 2x) 13 + 3x = (-3 * 5 + 2x * 5) 13 + 3x = (-15 + 10x) Solving 13 + 3x = -15 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 13 + 3x + -10x = -15 + 10x + -10x Combine like terms: 3x + -10x = -7x 13 + -7x = -15 + 10x + -10x Combine like terms: 10x + -10x = 0 13 + -7x = -15 + 0 13 + -7x = -15 Add '-13' to each side of the equation. 13 + -13 + -7x = -15 + -13 Combine like terms: 13 + -13 = 0 0 + -7x = -15 + -13 -7x = -15 + -13 Combine like terms: -15 + -13 = -28 -7x = -28 Divide each side by '-7'. x = 4 Simplifying x = 4
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