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Simplifying 6 + -15(x + 2) + 12x = 6x + -1(3x + -4) + 20 Reorder the terms: 6 + -15(2 + x) + 12x = 6x + -1(3x + -4) + 20 6 + (2 * -15 + x * -15) + 12x = 6x + -1(3x + -4) + 20 6 + (-30 + -15x) + 12x = 6x + -1(3x + -4) + 20 Combine like terms: 6 + -30 = -24 -24 + -15x + 12x = 6x + -1(3x + -4) + 20 Combine like terms: -15x + 12x = -3x -24 + -3x = 6x + -1(3x + -4) + 20 Reorder the terms: -24 + -3x = 6x + -1(-4 + 3x) + 20 -24 + -3x = 6x + (-4 * -1 + 3x * -1) + 20 -24 + -3x = 6x + (4 + -3x) + 20 Reorder the terms: -24 + -3x = 4 + 20 + 6x + -3x Combine like terms: 4 + 20 = 24 -24 + -3x = 24 + 6x + -3x Combine like terms: 6x + -3x = 3x -24 + -3x = 24 + 3x Solving -24 + -3x = 24 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -24 + -3x + -3x = 24 + 3x + -3x Combine like terms: -3x + -3x = -6x -24 + -6x = 24 + 3x + -3x Combine like terms: 3x + -3x = 0 -24 + -6x = 24 + 0 -24 + -6x = 24 Add '24' to each side of the equation. -24 + 24 + -6x = 24 + 24 Combine like terms: -24 + 24 = 0 0 + -6x = 24 + 24 -6x = 24 + 24 Combine like terms: 24 + 24 = 48 -6x = 48 Divide each side by '-6'. x = -8 Simplifying x = -8
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