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Simplifying 17 + -3(x + 11) = x + 12 Reorder the terms: 17 + -3(11 + x) = x + 12 17 + (11 * -3 + x * -3) = x + 12 17 + (-33 + -3x) = x + 12 Combine like terms: 17 + -33 = -16 -16 + -3x = x + 12 Reorder the terms: -16 + -3x = 12 + x Solving -16 + -3x = 12 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -16 + -3x + -1x = 12 + x + -1x Combine like terms: -3x + -1x = -4x -16 + -4x = 12 + x + -1x Combine like terms: x + -1x = 0 -16 + -4x = 12 + 0 -16 + -4x = 12 Add '16' to each side of the equation. -16 + 16 + -4x = 12 + 16 Combine like terms: -16 + 16 = 0 0 + -4x = 12 + 16 -4x = 12 + 16 Combine like terms: 12 + 16 = 28 -4x = 28 Divide each side by '-4'. x = -7 Simplifying x = -7
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