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Simplifying 3(x + 2) + 6 = 4(-2 + -4x) + -5 Reorder the terms: 3(2 + x) + 6 = 4(-2 + -4x) + -5 (2 * 3 + x * 3) + 6 = 4(-2 + -4x) + -5 (6 + 3x) + 6 = 4(-2 + -4x) + -5 Reorder the terms: 6 + 6 + 3x = 4(-2 + -4x) + -5 Combine like terms: 6 + 6 = 12 12 + 3x = 4(-2 + -4x) + -5 12 + 3x = (-2 * 4 + -4x * 4) + -5 12 + 3x = (-8 + -16x) + -5 Reorder the terms: 12 + 3x = -8 + -5 + -16x Combine like terms: -8 + -5 = -13 12 + 3x = -13 + -16x Solving 12 + 3x = -13 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. 12 + 3x + 16x = -13 + -16x + 16x Combine like terms: 3x + 16x = 19x 12 + 19x = -13 + -16x + 16x Combine like terms: -16x + 16x = 0 12 + 19x = -13 + 0 12 + 19x = -13 Add '-12' to each side of the equation. 12 + -12 + 19x = -13 + -12 Combine like terms: 12 + -12 = 0 0 + 19x = -13 + -12 19x = -13 + -12 Combine like terms: -13 + -12 = -25 19x = -25 Divide each side by '19'. x = -1.315789474 Simplifying x = -1.315789474
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