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Simplifying 12x + -42 + 3x = 6(3x + -9) Reorder the terms: -42 + 12x + 3x = 6(3x + -9) Combine like terms: 12x + 3x = 15x -42 + 15x = 6(3x + -9) Reorder the terms: -42 + 15x = 6(-9 + 3x) -42 + 15x = (-9 * 6 + 3x * 6) -42 + 15x = (-54 + 18x) Solving -42 + 15x = -54 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -42 + 15x + -18x = -54 + 18x + -18x Combine like terms: 15x + -18x = -3x -42 + -3x = -54 + 18x + -18x Combine like terms: 18x + -18x = 0 -42 + -3x = -54 + 0 -42 + -3x = -54 Add '42' to each side of the equation. -42 + 42 + -3x = -54 + 42 Combine like terms: -42 + 42 = 0 0 + -3x = -54 + 42 -3x = -54 + 42 Combine like terms: -54 + 42 = -12 -3x = -12 Divide each side by '-3'. x = 4 Simplifying x = 4
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