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Simplifying 4(3x + -2) + 2(3x + 1) = 2x + -54 Reorder the terms: 4(-2 + 3x) + 2(3x + 1) = 2x + -54 (-2 * 4 + 3x * 4) + 2(3x + 1) = 2x + -54 (-8 + 12x) + 2(3x + 1) = 2x + -54 Reorder the terms: -8 + 12x + 2(1 + 3x) = 2x + -54 -8 + 12x + (1 * 2 + 3x * 2) = 2x + -54 -8 + 12x + (2 + 6x) = 2x + -54 Reorder the terms: -8 + 2 + 12x + 6x = 2x + -54 Combine like terms: -8 + 2 = -6 -6 + 12x + 6x = 2x + -54 Combine like terms: 12x + 6x = 18x -6 + 18x = 2x + -54 Reorder the terms: -6 + 18x = -54 + 2x Solving -6 + 18x = -54 + 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. -6 + 18x + -2x = -54 + 2x + -2x Combine like terms: 18x + -2x = 16x -6 + 16x = -54 + 2x + -2x Combine like terms: 2x + -2x = 0 -6 + 16x = -54 + 0 -6 + 16x = -54 Add '6' to each side of the equation. -6 + 6 + 16x = -54 + 6 Combine like terms: -6 + 6 = 0 0 + 16x = -54 + 6 16x = -54 + 6 Combine like terms: -54 + 6 = -48 16x = -48 Divide each side by '16'. x = -3 Simplifying x = -3
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