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Simplifying 6(5 + -1x) + -4(4x + -6) = 5(2 + -4x) + 6 (5 * 6 + -1x * 6) + -4(4x + -6) = 5(2 + -4x) + 6 (30 + -6x) + -4(4x + -6) = 5(2 + -4x) + 6 Reorder the terms: 30 + -6x + -4(-6 + 4x) = 5(2 + -4x) + 6 30 + -6x + (-6 * -4 + 4x * -4) = 5(2 + -4x) + 6 30 + -6x + (24 + -16x) = 5(2 + -4x) + 6 Reorder the terms: 30 + 24 + -6x + -16x = 5(2 + -4x) + 6 Combine like terms: 30 + 24 = 54 54 + -6x + -16x = 5(2 + -4x) + 6 Combine like terms: -6x + -16x = -22x 54 + -22x = 5(2 + -4x) + 6 54 + -22x = (2 * 5 + -4x * 5) + 6 54 + -22x = (10 + -20x) + 6 Reorder the terms: 54 + -22x = 10 + 6 + -20x Combine like terms: 10 + 6 = 16 54 + -22x = 16 + -20x Solving 54 + -22x = 16 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. 54 + -22x + 20x = 16 + -20x + 20x Combine like terms: -22x + 20x = -2x 54 + -2x = 16 + -20x + 20x Combine like terms: -20x + 20x = 0 54 + -2x = 16 + 0 54 + -2x = 16 Add '-54' to each side of the equation. 54 + -54 + -2x = 16 + -54 Combine like terms: 54 + -54 = 0 0 + -2x = 16 + -54 -2x = 16 + -54 Combine like terms: 16 + -54 = -38 -2x = -38 Divide each side by '-2'. x = 19 Simplifying x = 19
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