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Simplifying 12x + 6(x + -11) = 7(x + 5) + -17x + -3 Reorder the terms: 12x + 6(-11 + x) = 7(x + 5) + -17x + -3 12x + (-11 * 6 + x * 6) = 7(x + 5) + -17x + -3 12x + (-66 + 6x) = 7(x + 5) + -17x + -3 Reorder the terms: -66 + 12x + 6x = 7(x + 5) + -17x + -3 Combine like terms: 12x + 6x = 18x -66 + 18x = 7(x + 5) + -17x + -3 Reorder the terms: -66 + 18x = 7(5 + x) + -17x + -3 -66 + 18x = (5 * 7 + x * 7) + -17x + -3 -66 + 18x = (35 + 7x) + -17x + -3 Reorder the terms: -66 + 18x = 35 + -3 + 7x + -17x Combine like terms: 35 + -3 = 32 -66 + 18x = 32 + 7x + -17x Combine like terms: 7x + -17x = -10x -66 + 18x = 32 + -10x Solving -66 + 18x = 32 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -66 + 18x + 10x = 32 + -10x + 10x Combine like terms: 18x + 10x = 28x -66 + 28x = 32 + -10x + 10x Combine like terms: -10x + 10x = 0 -66 + 28x = 32 + 0 -66 + 28x = 32 Add '66' to each side of the equation. -66 + 66 + 28x = 32 + 66 Combine like terms: -66 + 66 = 0 0 + 28x = 32 + 66 28x = 32 + 66 Combine like terms: 32 + 66 = 98 28x = 98 Divide each side by '28'. x = 3.5 Simplifying x = 3.5
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