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Simplifying -10(x + 1) + 4(4x + -6) = 5(x + -6) + 13 Reorder the terms: -10(1 + x) + 4(4x + -6) = 5(x + -6) + 13 (1 * -10 + x * -10) + 4(4x + -6) = 5(x + -6) + 13 (-10 + -10x) + 4(4x + -6) = 5(x + -6) + 13 Reorder the terms: -10 + -10x + 4(-6 + 4x) = 5(x + -6) + 13 -10 + -10x + (-6 * 4 + 4x * 4) = 5(x + -6) + 13 -10 + -10x + (-24 + 16x) = 5(x + -6) + 13 Reorder the terms: -10 + -24 + -10x + 16x = 5(x + -6) + 13 Combine like terms: -10 + -24 = -34 -34 + -10x + 16x = 5(x + -6) + 13 Combine like terms: -10x + 16x = 6x -34 + 6x = 5(x + -6) + 13 Reorder the terms: -34 + 6x = 5(-6 + x) + 13 -34 + 6x = (-6 * 5 + x * 5) + 13 -34 + 6x = (-30 + 5x) + 13 Reorder the terms: -34 + 6x = -30 + 13 + 5x Combine like terms: -30 + 13 = -17 -34 + 6x = -17 + 5x Solving -34 + 6x = -17 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -34 + 6x + -5x = -17 + 5x + -5x Combine like terms: 6x + -5x = 1x -34 + 1x = -17 + 5x + -5x Combine like terms: 5x + -5x = 0 -34 + 1x = -17 + 0 -34 + 1x = -17 Add '34' to each side of the equation. -34 + 34 + 1x = -17 + 34 Combine like terms: -34 + 34 = 0 0 + 1x = -17 + 34 1x = -17 + 34 Combine like terms: -17 + 34 = 17 1x = 17 Divide each side by '1'. x = 17 Simplifying x = 17
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