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Simplifying 6(x + -1) + -2(x + -3) = 42x + -21(2x + -4) Reorder the terms: 6(-1 + x) + -2(x + -3) = 42x + -21(2x + -4) (-1 * 6 + x * 6) + -2(x + -3) = 42x + -21(2x + -4) (-6 + 6x) + -2(x + -3) = 42x + -21(2x + -4) Reorder the terms: -6 + 6x + -2(-3 + x) = 42x + -21(2x + -4) -6 + 6x + (-3 * -2 + x * -2) = 42x + -21(2x + -4) -6 + 6x + (6 + -2x) = 42x + -21(2x + -4) Reorder the terms: -6 + 6 + 6x + -2x = 42x + -21(2x + -4) Combine like terms: -6 + 6 = 0 0 + 6x + -2x = 42x + -21(2x + -4) 6x + -2x = 42x + -21(2x + -4) Combine like terms: 6x + -2x = 4x 4x = 42x + -21(2x + -4) Reorder the terms: 4x = 42x + -21(-4 + 2x) 4x = 42x + (-4 * -21 + 2x * -21) 4x = 42x + (84 + -42x) Reorder the terms: 4x = 84 + 42x + -42x Combine like terms: 42x + -42x = 0 4x = 84 + 0 4x = 84 Solving 4x = 84 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '4'. x = 21 Simplifying x = 21
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