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Simplifying 10x + -3(x + -8) = 5(3x + 1) + -13 Reorder the terms: 10x + -3(-8 + x) = 5(3x + 1) + -13 10x + (-8 * -3 + x * -3) = 5(3x + 1) + -13 10x + (24 + -3x) = 5(3x + 1) + -13 Reorder the terms: 24 + 10x + -3x = 5(3x + 1) + -13 Combine like terms: 10x + -3x = 7x 24 + 7x = 5(3x + 1) + -13 Reorder the terms: 24 + 7x = 5(1 + 3x) + -13 24 + 7x = (1 * 5 + 3x * 5) + -13 24 + 7x = (5 + 15x) + -13 Reorder the terms: 24 + 7x = 5 + -13 + 15x Combine like terms: 5 + -13 = -8 24 + 7x = -8 + 15x Solving 24 + 7x = -8 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 24 + 7x + -15x = -8 + 15x + -15x Combine like terms: 7x + -15x = -8x 24 + -8x = -8 + 15x + -15x Combine like terms: 15x + -15x = 0 24 + -8x = -8 + 0 24 + -8x = -8 Add '-24' to each side of the equation. 24 + -24 + -8x = -8 + -24 Combine like terms: 24 + -24 = 0 0 + -8x = -8 + -24 -8x = -8 + -24 Combine like terms: -8 + -24 = -32 -8x = -32 Divide each side by '-8'. x = 4 Simplifying x = 4
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