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Simplifying 6(2x + 10) = 5(3x + -4) + 3(4x + -6) Reorder the terms: 6(10 + 2x) = 5(3x + -4) + 3(4x + -6) (10 * 6 + 2x * 6) = 5(3x + -4) + 3(4x + -6) (60 + 12x) = 5(3x + -4) + 3(4x + -6) Reorder the terms: 60 + 12x = 5(-4 + 3x) + 3(4x + -6) 60 + 12x = (-4 * 5 + 3x * 5) + 3(4x + -6) 60 + 12x = (-20 + 15x) + 3(4x + -6) Reorder the terms: 60 + 12x = -20 + 15x + 3(-6 + 4x) 60 + 12x = -20 + 15x + (-6 * 3 + 4x * 3) 60 + 12x = -20 + 15x + (-18 + 12x) Reorder the terms: 60 + 12x = -20 + -18 + 15x + 12x Combine like terms: -20 + -18 = -38 60 + 12x = -38 + 15x + 12x Combine like terms: 15x + 12x = 27x 60 + 12x = -38 + 27x Solving 60 + 12x = -38 + 27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27x' to each side of the equation. 60 + 12x + -27x = -38 + 27x + -27x Combine like terms: 12x + -27x = -15x 60 + -15x = -38 + 27x + -27x Combine like terms: 27x + -27x = 0 60 + -15x = -38 + 0 60 + -15x = -38 Add '-60' to each side of the equation. 60 + -60 + -15x = -38 + -60 Combine like terms: 60 + -60 = 0 0 + -15x = -38 + -60 -15x = -38 + -60 Combine like terms: -38 + -60 = -98 -15x = -98 Divide each side by '-15'. x = 6.533333333 Simplifying x = 6.533333333
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