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Simplifying 6(x + -2) = -9(x + 4) + 42 Reorder the terms: 6(-2 + x) = -9(x + 4) + 42 (-2 * 6 + x * 6) = -9(x + 4) + 42 (-12 + 6x) = -9(x + 4) + 42 Reorder the terms: -12 + 6x = -9(4 + x) + 42 -12 + 6x = (4 * -9 + x * -9) + 42 -12 + 6x = (-36 + -9x) + 42 Reorder the terms: -12 + 6x = -36 + 42 + -9x Combine like terms: -36 + 42 = 6 -12 + 6x = 6 + -9x Solving -12 + 6x = 6 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -12 + 6x + 9x = 6 + -9x + 9x Combine like terms: 6x + 9x = 15x -12 + 15x = 6 + -9x + 9x Combine like terms: -9x + 9x = 0 -12 + 15x = 6 + 0 -12 + 15x = 6 Add '12' to each side of the equation. -12 + 12 + 15x = 6 + 12 Combine like terms: -12 + 12 = 0 0 + 15x = 6 + 12 15x = 6 + 12 Combine like terms: 6 + 12 = 18 15x = 18 Divide each side by '15'. x = 1.2 Simplifying x = 1.2
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