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Simplifying 12 + x + -15 = y + ((x + 12) + -1(x + -15)) Reorder the terms: 12 + -15 + x = y + ((x + 12) + -1(x + -15)) Combine like terms: 12 + -15 = -3 -3 + x = y + ((x + 12) + -1(x + -15)) Reorder the terms: -3 + x = y + ((12 + x) + -1(x + -15)) Remove parenthesis around (12 + x) -3 + x = y + (12 + x + -1(x + -15)) Reorder the terms: -3 + x = y + (12 + x + -1(-15 + x)) -3 + x = y + (12 + x + (-15 * -1 + x * -1)) -3 + x = y + (12 + x + (15 + -1x)) Reorder the terms: -3 + x = y + (12 + 15 + x + -1x) Combine like terms: 12 + 15 = 27 -3 + x = y + (27 + x + -1x) Combine like terms: x + -1x = 0 -3 + x = y + (27 + 0) -3 + x = y + (27) -3 + x = y + 27 Reorder the terms: -3 + x = 27 + y Solving -3 + x = 27 + y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + x = 27 + 3 + y Combine like terms: -3 + 3 = 0 0 + x = 27 + 3 + y x = 27 + 3 + y Combine like terms: 27 + 3 = 30 x = 30 + y Simplifying x = 30 + y
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