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Simplifying 6x + 4(3x + -2) = 4(4x + -1) + -6 Reorder the terms: 6x + 4(-2 + 3x) = 4(4x + -1) + -6 6x + (-2 * 4 + 3x * 4) = 4(4x + -1) + -6 6x + (-8 + 12x) = 4(4x + -1) + -6 Reorder the terms: -8 + 6x + 12x = 4(4x + -1) + -6 Combine like terms: 6x + 12x = 18x -8 + 18x = 4(4x + -1) + -6 Reorder the terms: -8 + 18x = 4(-1 + 4x) + -6 -8 + 18x = (-1 * 4 + 4x * 4) + -6 -8 + 18x = (-4 + 16x) + -6 Reorder the terms: -8 + 18x = -4 + -6 + 16x Combine like terms: -4 + -6 = -10 -8 + 18x = -10 + 16x Solving -8 + 18x = -10 + 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. -8 + 18x + -16x = -10 + 16x + -16x Combine like terms: 18x + -16x = 2x -8 + 2x = -10 + 16x + -16x Combine like terms: 16x + -16x = 0 -8 + 2x = -10 + 0 -8 + 2x = -10 Add '8' to each side of the equation. -8 + 8 + 2x = -10 + 8 Combine like terms: -8 + 8 = 0 0 + 2x = -10 + 8 2x = -10 + 8 Combine like terms: -10 + 8 = -2 2x = -2 Divide each side by '2'. x = -1 Simplifying x = -1
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