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Simplifying 2(2x + 3) + 3(x + -1) = 4(x + -4) Reorder the terms: 2(3 + 2x) + 3(x + -1) = 4(x + -4) (3 * 2 + 2x * 2) + 3(x + -1) = 4(x + -4) (6 + 4x) + 3(x + -1) = 4(x + -4) Reorder the terms: 6 + 4x + 3(-1 + x) = 4(x + -4) 6 + 4x + (-1 * 3 + x * 3) = 4(x + -4) 6 + 4x + (-3 + 3x) = 4(x + -4) Reorder the terms: 6 + -3 + 4x + 3x = 4(x + -4) Combine like terms: 6 + -3 = 3 3 + 4x + 3x = 4(x + -4) Combine like terms: 4x + 3x = 7x 3 + 7x = 4(x + -4) Reorder the terms: 3 + 7x = 4(-4 + x) 3 + 7x = (-4 * 4 + x * 4) 3 + 7x = (-16 + 4x) Solving 3 + 7x = -16 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 3 + 7x + -4x = -16 + 4x + -4x Combine like terms: 7x + -4x = 3x 3 + 3x = -16 + 4x + -4x Combine like terms: 4x + -4x = 0 3 + 3x = -16 + 0 3 + 3x = -16 Add '-3' to each side of the equation. 3 + -3 + 3x = -16 + -3 Combine like terms: 3 + -3 = 0 0 + 3x = -16 + -3 3x = -16 + -3 Combine like terms: -16 + -3 = -19 3x = -19 Divide each side by '3'. x = -6.333333333 Simplifying x = -6.333333333
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