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Simplifying 13 + -7(x + -4) = 8(x + -3) Reorder the terms: 13 + -7(-4 + x) = 8(x + -3) 13 + (-4 * -7 + x * -7) = 8(x + -3) 13 + (28 + -7x) = 8(x + -3) Combine like terms: 13 + 28 = 41 41 + -7x = 8(x + -3) Reorder the terms: 41 + -7x = 8(-3 + x) 41 + -7x = (-3 * 8 + x * 8) 41 + -7x = (-24 + 8x) Solving 41 + -7x = -24 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 41 + -7x + -8x = -24 + 8x + -8x Combine like terms: -7x + -8x = -15x 41 + -15x = -24 + 8x + -8x Combine like terms: 8x + -8x = 0 41 + -15x = -24 + 0 41 + -15x = -24 Add '-41' to each side of the equation. 41 + -41 + -15x = -24 + -41 Combine like terms: 41 + -41 = 0 0 + -15x = -24 + -41 -15x = -24 + -41 Combine like terms: -24 + -41 = -65 -15x = -65 Divide each side by '-15'. x = 4.333333333 Simplifying x = 4.333333333
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