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Simplifying 3(x + 14) + 3x + -20 + 4(x + 6) + 12 = x Reorder the terms: 3(14 + x) + 3x + -20 + 4(x + 6) + 12 = x (14 * 3 + x * 3) + 3x + -20 + 4(x + 6) + 12 = x (42 + 3x) + 3x + -20 + 4(x + 6) + 12 = x Reorder the terms: 42 + 3x + 3x + -20 + 4(6 + x) + 12 = x 42 + 3x + 3x + -20 + (6 * 4 + x * 4) + 12 = x 42 + 3x + 3x + -20 + (24 + 4x) + 12 = x Reorder the terms: 42 + -20 + 24 + 12 + 3x + 3x + 4x = x Combine like terms: 42 + -20 = 22 22 + 24 + 12 + 3x + 3x + 4x = x Combine like terms: 22 + 24 = 46 46 + 12 + 3x + 3x + 4x = x Combine like terms: 46 + 12 = 58 58 + 3x + 3x + 4x = x Combine like terms: 3x + 3x = 6x 58 + 6x + 4x = x Combine like terms: 6x + 4x = 10x 58 + 10x = x Solving 58 + 10x = 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. 58 + 10x + -1x = x + -1x Combine like terms: 10x + -1x = 9x 58 + 9x = x + -1x Combine like terms: x + -1x = 0 58 + 9x = 0 Add '-58' to each side of the equation. 58 + -58 + 9x = 0 + -58 Combine like terms: 58 + -58 = 0 0 + 9x = 0 + -58 9x = 0 + -58 Combine like terms: 0 + -58 = -58 9x = -58 Divide each side by '9'. x = -6.444444444 Simplifying x = -6.444444444
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