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Simplifying 6x + [-10x + -1(2x + 3)] = 16x + (-10x + -18) Reorder the terms: 6x + [-10x + -1(3 + 2x)] = 16x + (-10x + -18) 6x + [-10x + (3 * -1 + 2x * -1)] = 16x + (-10x + -18) 6x + [-10x + (-3 + -2x)] = 16x + (-10x + -18) Reorder the terms: 6x + [-3 + -10x + -2x] = 16x + (-10x + -18) Combine like terms: -10x + -2x = -12x 6x + [-3 + -12x] = 16x + (-10x + -18) Remove brackets around [-3 + -12x] 6x + -3 + -12x = 16x + (-10x + -18) Reorder the terms: -3 + 6x + -12x = 16x + (-10x + -18) Combine like terms: 6x + -12x = -6x -3 + -6x = 16x + (-10x + -18) Reorder the terms: -3 + -6x = 16x + (-18 + -10x) Remove parenthesis around (-18 + -10x) -3 + -6x = 16x + -18 + -10x Reorder the terms: -3 + -6x = -18 + 16x + -10x Combine like terms: 16x + -10x = 6x -3 + -6x = -18 + 6x Solving -3 + -6x = -18 + 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. -3 + -6x + -6x = -18 + 6x + -6x Combine like terms: -6x + -6x = -12x -3 + -12x = -18 + 6x + -6x Combine like terms: 6x + -6x = 0 -3 + -12x = -18 + 0 -3 + -12x = -18 Add '3' to each side of the equation. -3 + 3 + -12x = -18 + 3 Combine like terms: -3 + 3 = 0 0 + -12x = -18 + 3 -12x = -18 + 3 Combine like terms: -18 + 3 = -15 -12x = -15 Divide each side by '-12'. x = 1.25 Simplifying x = 1.25
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