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Simplifying 3(6x + -10) + 5 = 10(2x + 4) + -11 Reorder the terms: 3(-10 + 6x) + 5 = 10(2x + 4) + -11 (-10 * 3 + 6x * 3) + 5 = 10(2x + 4) + -11 (-30 + 18x) + 5 = 10(2x + 4) + -11 Reorder the terms: -30 + 5 + 18x = 10(2x + 4) + -11 Combine like terms: -30 + 5 = -25 -25 + 18x = 10(2x + 4) + -11 Reorder the terms: -25 + 18x = 10(4 + 2x) + -11 -25 + 18x = (4 * 10 + 2x * 10) + -11 -25 + 18x = (40 + 20x) + -11 Reorder the terms: -25 + 18x = 40 + -11 + 20x Combine like terms: 40 + -11 = 29 -25 + 18x = 29 + 20x Solving -25 + 18x = 29 + 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. -25 + 18x + -20x = 29 + 20x + -20x Combine like terms: 18x + -20x = -2x -25 + -2x = 29 + 20x + -20x Combine like terms: 20x + -20x = 0 -25 + -2x = 29 + 0 -25 + -2x = 29 Add '25' to each side of the equation. -25 + 25 + -2x = 29 + 25 Combine like terms: -25 + 25 = 0 0 + -2x = 29 + 25 -2x = 29 + 25 Combine like terms: 29 + 25 = 54 -2x = 54 Divide each side by '-2'. x = -27 Simplifying x = -27
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