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Simplifying 5x + -3(2x + 3) = 3(x + 11) Reorder the terms: 5x + -3(3 + 2x) = 3(x + 11) 5x + (3 * -3 + 2x * -3) = 3(x + 11) 5x + (-9 + -6x) = 3(x + 11) Reorder the terms: -9 + 5x + -6x = 3(x + 11) Combine like terms: 5x + -6x = -1x -9 + -1x = 3(x + 11) Reorder the terms: -9 + -1x = 3(11 + x) -9 + -1x = (11 * 3 + x * 3) -9 + -1x = (33 + 3x) Solving -9 + -1x = 33 + 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. -9 + -1x + -3x = 33 + 3x + -3x Combine like terms: -1x + -3x = -4x -9 + -4x = 33 + 3x + -3x Combine like terms: 3x + -3x = 0 -9 + -4x = 33 + 0 -9 + -4x = 33 Add '9' to each side of the equation. -9 + 9 + -4x = 33 + 9 Combine like terms: -9 + 9 = 0 0 + -4x = 33 + 9 -4x = 33 + 9 Combine like terms: 33 + 9 = 42 -4x = 42 Divide each side by '-4'. x = -10.5 Simplifying x = -10.5
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