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Simplifying 3(3x + -12) + (3 + -2x) = 5x + -4x Reorder the terms: 3(-12 + 3x) + (3 + -2x) = 5x + -4x (-12 * 3 + 3x * 3) + (3 + -2x) = 5x + -4x (-36 + 9x) + (3 + -2x) = 5x + -4x Remove parenthesis around (3 + -2x) -36 + 9x + 3 + -2x = 5x + -4x Reorder the terms: -36 + 3 + 9x + -2x = 5x + -4x Combine like terms: -36 + 3 = -33 -33 + 9x + -2x = 5x + -4x Combine like terms: 9x + -2x = 7x -33 + 7x = 5x + -4x Combine like terms: 5x + -4x = 1x -33 + 7x = 1x Solving -33 + 7x = 1x 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. -33 + 7x + -1x = 1x + -1x Combine like terms: 7x + -1x = 6x -33 + 6x = 1x + -1x Combine like terms: 1x + -1x = 0 -33 + 6x = 0 Add '33' to each side of the equation. -33 + 33 + 6x = 0 + 33 Combine like terms: -33 + 33 = 0 0 + 6x = 0 + 33 6x = 0 + 33 Combine like terms: 0 + 33 = 33 6x = 33 Divide each side by '6'. x = 5.5 Simplifying x = 5.5
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