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Simplifying 5(3x + 6) + -2(4x + 10) = 6x Reorder the terms: 5(6 + 3x) + -2(4x + 10) = 6x (6 * 5 + 3x * 5) + -2(4x + 10) = 6x (30 + 15x) + -2(4x + 10) = 6x Reorder the terms: 30 + 15x + -2(10 + 4x) = 6x 30 + 15x + (10 * -2 + 4x * -2) = 6x 30 + 15x + (-20 + -8x) = 6x Reorder the terms: 30 + -20 + 15x + -8x = 6x Combine like terms: 30 + -20 = 10 10 + 15x + -8x = 6x Combine like terms: 15x + -8x = 7x 10 + 7x = 6x Solving 10 + 7x = 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 10 + 7x + -6x = 6x + -6x Combine like terms: 7x + -6x = 1x 10 + 1x = 6x + -6x Combine like terms: 6x + -6x = 0 10 + 1x = 0 Add '-10' to each side of the equation. 10 + -10 + 1x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 1x = 0 + -10 1x = 0 + -10 Combine like terms: 0 + -10 = -10 1x = -10 Divide each side by '1'. x = -10 Simplifying x = -10
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