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