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Simplifying 5x + -13 = 13 + 7(x + -3) Reorder the terms: -13 + 5x = 13 + 7(x + -3) Reorder the terms: -13 + 5x = 13 + 7(-3 + x) -13 + 5x = 13 + (-3 * 7 + x * 7) -13 + 5x = 13 + (-21 + 7x) Combine like terms: 13 + -21 = -8 -13 + 5x = -8 + 7x Solving -13 + 5x = -8 + 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. -13 + 5x + -7x = -8 + 7x + -7x Combine like terms: 5x + -7x = -2x -13 + -2x = -8 + 7x + -7x Combine like terms: 7x + -7x = 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 = 5 -2x = 5 Divide each side by '-2'. x = -2.5 Simplifying x = -2.5
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