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Simplifying 6(x + -2) + -15 = -9(x + -2) + 15 Reorder the terms: 6(-2 + x) + -15 = -9(x + -2) + 15 (-2 * 6 + x * 6) + -15 = -9(x + -2) + 15 (-12 + 6x) + -15 = -9(x + -2) + 15 Reorder the terms: -12 + -15 + 6x = -9(x + -2) + 15 Combine like terms: -12 + -15 = -27 -27 + 6x = -9(x + -2) + 15 Reorder the terms: -27 + 6x = -9(-2 + x) + 15 -27 + 6x = (-2 * -9 + x * -9) + 15 -27 + 6x = (18 + -9x) + 15 Reorder the terms: -27 + 6x = 18 + 15 + -9x Combine like terms: 18 + 15 = 33 -27 + 6x = 33 + -9x Solving -27 + 6x = 33 + -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. -27 + 6x + 9x = 33 + -9x + 9x Combine like terms: 6x + 9x = 15x -27 + 15x = 33 + -9x + 9x Combine like terms: -9x + 9x = 0 -27 + 15x = 33 + 0 -27 + 15x = 33 Add '27' to each side of the equation. -27 + 27 + 15x = 33 + 27 Combine like terms: -27 + 27 = 0 0 + 15x = 33 + 27 15x = 33 + 27 Combine like terms: 33 + 27 = 60 15x = 60 Divide each side by '15'. x = 4 Simplifying x = 4
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