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Simplifying 2(9x + -15) = 17 + -3(x + -12) Reorder the terms: 2(-15 + 9x) = 17 + -3(x + -12) (-15 * 2 + 9x * 2) = 17 + -3(x + -12) (-30 + 18x) = 17 + -3(x + -12) Reorder the terms: -30 + 18x = 17 + -3(-12 + x) -30 + 18x = 17 + (-12 * -3 + x * -3) -30 + 18x = 17 + (36 + -3x) Combine like terms: 17 + 36 = 53 -30 + 18x = 53 + -3x Solving -30 + 18x = 53 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -30 + 18x + 3x = 53 + -3x + 3x Combine like terms: 18x + 3x = 21x -30 + 21x = 53 + -3x + 3x Combine like terms: -3x + 3x = 0 -30 + 21x = 53 + 0 -30 + 21x = 53 Add '30' to each side of the equation. -30 + 30 + 21x = 53 + 30 Combine like terms: -30 + 30 = 0 0 + 21x = 53 + 30 21x = 53 + 30 Combine like terms: 53 + 30 = 83 21x = 83 Divide each side by '21'. x = 3.952380952 Simplifying x = 3.952380952
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