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Simplifying 3x + 13 = 7x + -2(x + 4) Reorder the terms: 13 + 3x = 7x + -2(x + 4) Reorder the terms: 13 + 3x = 7x + -2(4 + x) 13 + 3x = 7x + (4 * -2 + x * -2) 13 + 3x = 7x + (-8 + -2x) Reorder the terms: 13 + 3x = -8 + 7x + -2x Combine like terms: 7x + -2x = 5x 13 + 3x = -8 + 5x Solving 13 + 3x = -8 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 13 + 3x + -5x = -8 + 5x + -5x Combine like terms: 3x + -5x = -2x 13 + -2x = -8 + 5x + -5x Combine like terms: 5x + -5x = 0 13 + -2x = -8 + 0 13 + -2x = -8 Add '-13' to each side of the equation. 13 + -13 + -2x = -8 + -13 Combine like terms: 13 + -13 = 0 0 + -2x = -8 + -13 -2x = -8 + -13 Combine like terms: -8 + -13 = -21 -2x = -21 Divide each side by '-2'. x = 10.5 Simplifying x = 10.5
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