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Simplifying 4(x + 3) + -2 = 6(x + -1) + -1x Reorder the terms: 4(3 + x) + -2 = 6(x + -1) + -1x (3 * 4 + x * 4) + -2 = 6(x + -1) + -1x (12 + 4x) + -2 = 6(x + -1) + -1x Reorder the terms: 12 + -2 + 4x = 6(x + -1) + -1x Combine like terms: 12 + -2 = 10 10 + 4x = 6(x + -1) + -1x Reorder the terms: 10 + 4x = 6(-1 + x) + -1x 10 + 4x = (-1 * 6 + x * 6) + -1x 10 + 4x = (-6 + 6x) + -1x Combine like terms: 6x + -1x = 5x 10 + 4x = -6 + 5x Solving 10 + 4x = -6 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 10 + 4x + -5x = -6 + 5x + -5x Combine like terms: 4x + -5x = -1x 10 + -1x = -6 + 5x + -5x Combine like terms: 5x + -5x = 0 10 + -1x = -6 + 0 10 + -1x = -6 Add '-10' to each side of the equation. 10 + -10 + -1x = -6 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = -6 + -10 -1x = -6 + -10 Combine like terms: -6 + -10 = -16 -1x = -16 Divide each side by '-1'. x = 16 Simplifying x = 16
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