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Simplifying (x + 4) + 3x = -2(x + 1) + -6 Reorder the terms: (4 + x) + 3x = -2(x + 1) + -6 Remove parenthesis around (4 + x) 4 + x + 3x = -2(x + 1) + -6 Combine like terms: x + 3x = 4x 4 + 4x = -2(x + 1) + -6 Reorder the terms: 4 + 4x = -2(1 + x) + -6 4 + 4x = (1 * -2 + x * -2) + -6 4 + 4x = (-2 + -2x) + -6 Reorder the terms: 4 + 4x = -2 + -6 + -2x Combine like terms: -2 + -6 = -8 4 + 4x = -8 + -2x Solving 4 + 4x = -8 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 4 + 4x + 2x = -8 + -2x + 2x Combine like terms: 4x + 2x = 6x 4 + 6x = -8 + -2x + 2x Combine like terms: -2x + 2x = 0 4 + 6x = -8 + 0 4 + 6x = -8 Add '-4' to each side of the equation. 4 + -4 + 6x = -8 + -4 Combine like terms: 4 + -4 = 0 0 + 6x = -8 + -4 6x = -8 + -4 Combine like terms: -8 + -4 = -12 6x = -12 Divide each side by '6'. x = -2 Simplifying x = -2
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