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Simplifying 4(-3x + -4) + 18x + -10 = 5(-1x + 8) Reorder the terms: 4(-4 + -3x) + 18x + -10 = 5(-1x + 8) (-4 * 4 + -3x * 4) + 18x + -10 = 5(-1x + 8) (-16 + -12x) + 18x + -10 = 5(-1x + 8) Reorder the terms: -16 + -10 + -12x + 18x = 5(-1x + 8) Combine like terms: -16 + -10 = -26 -26 + -12x + 18x = 5(-1x + 8) Combine like terms: -12x + 18x = 6x -26 + 6x = 5(-1x + 8) Reorder the terms: -26 + 6x = 5(8 + -1x) -26 + 6x = (8 * 5 + -1x * 5) -26 + 6x = (40 + -5x) Solving -26 + 6x = 40 + -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. -26 + 6x + 5x = 40 + -5x + 5x Combine like terms: 6x + 5x = 11x -26 + 11x = 40 + -5x + 5x Combine like terms: -5x + 5x = 0 -26 + 11x = 40 + 0 -26 + 11x = 40 Add '26' to each side of the equation. -26 + 26 + 11x = 40 + 26 Combine like terms: -26 + 26 = 0 0 + 11x = 40 + 26 11x = 40 + 26 Combine like terms: 40 + 26 = 66 11x = 66 Divide each side by '11'. x = 6 Simplifying x = 6
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