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Simplifying 10(1 + -3x) + -20 = 4(6x + -5) + 6 (1 * 10 + -3x * 10) + -20 = 4(6x + -5) + 6 (10 + -30x) + -20 = 4(6x + -5) + 6 Reorder the terms: 10 + -20 + -30x = 4(6x + -5) + 6 Combine like terms: 10 + -20 = -10 -10 + -30x = 4(6x + -5) + 6 Reorder the terms: -10 + -30x = 4(-5 + 6x) + 6 -10 + -30x = (-5 * 4 + 6x * 4) + 6 -10 + -30x = (-20 + 24x) + 6 Reorder the terms: -10 + -30x = -20 + 6 + 24x Combine like terms: -20 + 6 = -14 -10 + -30x = -14 + 24x Solving -10 + -30x = -14 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -10 + -30x + -24x = -14 + 24x + -24x Combine like terms: -30x + -24x = -54x -10 + -54x = -14 + 24x + -24x Combine like terms: 24x + -24x = 0 -10 + -54x = -14 + 0 -10 + -54x = -14 Add '10' to each side of the equation. -10 + 10 + -54x = -14 + 10 Combine like terms: -10 + 10 = 0 0 + -54x = -14 + 10 -54x = -14 + 10 Combine like terms: -14 + 10 = -4 -54x = -4 Divide each side by '-54'. x = 0.07407407407 Simplifying x = 0.07407407407
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