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Simplifying 5 + -8x = 13 + 7(x + -3) Reorder the terms: 5 + -8x = 13 + 7(-3 + x) 5 + -8x = 13 + (-3 * 7 + x * 7) 5 + -8x = 13 + (-21 + 7x) Combine like terms: 13 + -21 = -8 5 + -8x = -8 + 7x Solving 5 + -8x = -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. 5 + -8x + -7x = -8 + 7x + -7x Combine like terms: -8x + -7x = -15x 5 + -15x = -8 + 7x + -7x Combine like terms: 7x + -7x = 0 5 + -15x = -8 + 0 5 + -15x = -8 Add '-5' to each side of the equation. 5 + -5 + -15x = -8 + -5 Combine like terms: 5 + -5 = 0 0 + -15x = -8 + -5 -15x = -8 + -5 Combine like terms: -8 + -5 = -13 -15x = -13 Divide each side by '-15'. x = 0.8666666667 Simplifying x = 0.8666666667
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