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Simplifying 5x + -8 = 13 + 13 + 7(x + -3) Reorder the terms: -8 + 5x = 13 + 13 + 7(x + -3) Reorder the terms: -8 + 5x = 13 + 13 + 7(-3 + x) -8 + 5x = 13 + 13 + (-3 * 7 + x * 7) -8 + 5x = 13 + 13 + (-21 + 7x) Combine like terms: 13 + 13 = 26 -8 + 5x = 26 + -21 + 7x Combine like terms: 26 + -21 = 5 -8 + 5x = 5 + 7x Solving -8 + 5x = 5 + 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. -8 + 5x + -7x = 5 + 7x + -7x Combine like terms: 5x + -7x = -2x -8 + -2x = 5 + 7x + -7x Combine like terms: 7x + -7x = 0 -8 + -2x = 5 + 0 -8 + -2x = 5 Add '8' to each side of the equation. -8 + 8 + -2x = 5 + 8 Combine like terms: -8 + 8 = 0 0 + -2x = 5 + 8 -2x = 5 + 8 Combine like terms: 5 + 8 = 13 -2x = 13 Divide each side by '-2'. x = -6.5 Simplifying x = -6.5
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