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Simplifying 4(2x + 4) + -1(x + 3) = 6(x + 2) Reorder the terms: 4(4 + 2x) + -1(x + 3) = 6(x + 2) (4 * 4 + 2x * 4) + -1(x + 3) = 6(x + 2) (16 + 8x) + -1(x + 3) = 6(x + 2) Reorder the terms: 16 + 8x + -1(3 + x) = 6(x + 2) 16 + 8x + (3 * -1 + x * -1) = 6(x + 2) 16 + 8x + (-3 + -1x) = 6(x + 2) Reorder the terms: 16 + -3 + 8x + -1x = 6(x + 2) Combine like terms: 16 + -3 = 13 13 + 8x + -1x = 6(x + 2) Combine like terms: 8x + -1x = 7x 13 + 7x = 6(x + 2) Reorder the terms: 13 + 7x = 6(2 + x) 13 + 7x = (2 * 6 + x * 6) 13 + 7x = (12 + 6x) Solving 13 + 7x = 12 + 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. 13 + 7x + -6x = 12 + 6x + -6x Combine like terms: 7x + -6x = 1x 13 + 1x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 13 + 1x = 12 + 0 13 + 1x = 12 Add '-13' to each side of the equation. 13 + -13 + 1x = 12 + -13 Combine like terms: 13 + -13 = 0 0 + 1x = 12 + -13 1x = 12 + -13 Combine like terms: 12 + -13 = -1 1x = -1 Divide each side by '1'. x = -1 Simplifying x = -1
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