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Simplifying -3(x + 1) = 7x + -5 + 4(2x + 4) Reorder the terms: -3(1 + x) = 7x + -5 + 4(2x + 4) (1 * -3 + x * -3) = 7x + -5 + 4(2x + 4) (-3 + -3x) = 7x + -5 + 4(2x + 4) Reorder the terms: -3 + -3x = 7x + -5 + 4(4 + 2x) -3 + -3x = 7x + -5 + (4 * 4 + 2x * 4) -3 + -3x = 7x + -5 + (16 + 8x) Reorder the terms: -3 + -3x = -5 + 16 + 7x + 8x Combine like terms: -5 + 16 = 11 -3 + -3x = 11 + 7x + 8x Combine like terms: 7x + 8x = 15x -3 + -3x = 11 + 15x Solving -3 + -3x = 11 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -3 + -3x + -15x = 11 + 15x + -15x Combine like terms: -3x + -15x = -18x -3 + -18x = 11 + 15x + -15x Combine like terms: 15x + -15x = 0 -3 + -18x = 11 + 0 -3 + -18x = 11 Add '3' to each side of the equation. -3 + 3 + -18x = 11 + 3 Combine like terms: -3 + 3 = 0 0 + -18x = 11 + 3 -18x = 11 + 3 Combine like terms: 11 + 3 = 14 -18x = 14 Divide each side by '-18'. x = -0.7777777778 Simplifying x = -0.7777777778
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