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Simplifying 3(5x + -1) + -2(2x + -18) = 10x + 6 Reorder the terms: 3(-1 + 5x) + -2(2x + -18) = 10x + 6 (-1 * 3 + 5x * 3) + -2(2x + -18) = 10x + 6 (-3 + 15x) + -2(2x + -18) = 10x + 6 Reorder the terms: -3 + 15x + -2(-18 + 2x) = 10x + 6 -3 + 15x + (-18 * -2 + 2x * -2) = 10x + 6 -3 + 15x + (36 + -4x) = 10x + 6 Reorder the terms: -3 + 36 + 15x + -4x = 10x + 6 Combine like terms: -3 + 36 = 33 33 + 15x + -4x = 10x + 6 Combine like terms: 15x + -4x = 11x 33 + 11x = 10x + 6 Reorder the terms: 33 + 11x = 6 + 10x Solving 33 + 11x = 6 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 33 + 11x + -10x = 6 + 10x + -10x Combine like terms: 11x + -10x = 1x 33 + 1x = 6 + 10x + -10x Combine like terms: 10x + -10x = 0 33 + 1x = 6 + 0 33 + 1x = 6 Add '-33' to each side of the equation. 33 + -33 + 1x = 6 + -33 Combine like terms: 33 + -33 = 0 0 + 1x = 6 + -33 1x = 6 + -33 Combine like terms: 6 + -33 = -27 1x = -27 Divide each side by '1'. x = -27 Simplifying x = -27
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