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Simplifying 17 + -47 = 3(x + -4) + -9 Combine like terms: 17 + -47 = -30 -30 = 3(x + -4) + -9 Reorder the terms: -30 = 3(-4 + x) + -9 -30 = (-4 * 3 + x * 3) + -9 -30 = (-12 + 3x) + -9 Reorder the terms: -30 = -12 + -9 + 3x Combine like terms: -12 + -9 = -21 -30 = -21 + 3x Solving -30 = -21 + 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 + -3x = -21 + 3x + -3x Combine like terms: 3x + -3x = 0 -30 + -3x = -21 + 0 -30 + -3x = -21 Add '30' to each side of the equation. -30 + 30 + -3x = -21 + 30 Combine like terms: -30 + 30 = 0 0 + -3x = -21 + 30 -3x = -21 + 30 Combine like terms: -21 + 30 = 9 -3x = 9 Divide each side by '-3'. x = -3 Simplifying x = -3
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