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Simplifying -4(x + -4) + 2(2x + -3) = -1x + -1(6x + 18) Reorder the terms: -4(-4 + x) + 2(2x + -3) = -1x + -1(6x + 18) (-4 * -4 + x * -4) + 2(2x + -3) = -1x + -1(6x + 18) (16 + -4x) + 2(2x + -3) = -1x + -1(6x + 18) Reorder the terms: 16 + -4x + 2(-3 + 2x) = -1x + -1(6x + 18) 16 + -4x + (-3 * 2 + 2x * 2) = -1x + -1(6x + 18) 16 + -4x + (-6 + 4x) = -1x + -1(6x + 18) Reorder the terms: 16 + -6 + -4x + 4x = -1x + -1(6x + 18) Combine like terms: 16 + -6 = 10 10 + -4x + 4x = -1x + -1(6x + 18) Combine like terms: -4x + 4x = 0 10 + 0 = -1x + -1(6x + 18) 10 = -1x + -1(6x + 18) Reorder the terms: 10 = -1x + -1(18 + 6x) 10 = -1x + (18 * -1 + 6x * -1) 10 = -1x + (-18 + -6x) Reorder the terms: 10 = -18 + -1x + -6x Combine like terms: -1x + -6x = -7x 10 = -18 + -7x Solving 10 = -18 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 10 + 7x = -18 + -7x + 7x Combine like terms: -7x + 7x = 0 10 + 7x = -18 + 0 10 + 7x = -18 Add '-10' to each side of the equation. 10 + -10 + 7x = -18 + -10 Combine like terms: 10 + -10 = 0 0 + 7x = -18 + -10 7x = -18 + -10 Combine like terms: -18 + -10 = -28 7x = -28 Divide each side by '7'. x = -4 Simplifying x = -4
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