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Simplifying -8(3x + 12) + -13 = 4x + 10 Reorder the terms: -8(12 + 3x) + -13 = 4x + 10 (12 * -8 + 3x * -8) + -13 = 4x + 10 (-96 + -24x) + -13 = 4x + 10 Reorder the terms: -96 + -13 + -24x = 4x + 10 Combine like terms: -96 + -13 = -109 -109 + -24x = 4x + 10 Reorder the terms: -109 + -24x = 10 + 4x Solving -109 + -24x = 10 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -109 + -24x + -4x = 10 + 4x + -4x Combine like terms: -24x + -4x = -28x -109 + -28x = 10 + 4x + -4x Combine like terms: 4x + -4x = 0 -109 + -28x = 10 + 0 -109 + -28x = 10 Add '109' to each side of the equation. -109 + 109 + -28x = 10 + 109 Combine like terms: -109 + 109 = 0 0 + -28x = 10 + 109 -28x = 10 + 109 Combine like terms: 10 + 109 = 119 -28x = 119 Divide each side by '-28'. x = -4.25 Simplifying x = -4.25
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