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Simplifying 6(8x + 6) + 3x = -11 + 4x Reorder the terms: 6(6 + 8x) + 3x = -11 + 4x (6 * 6 + 8x * 6) + 3x = -11 + 4x (36 + 48x) + 3x = -11 + 4x Combine like terms: 48x + 3x = 51x 36 + 51x = -11 + 4x Solving 36 + 51x = -11 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 36 + 51x + -4x = -11 + 4x + -4x Combine like terms: 51x + -4x = 47x 36 + 47x = -11 + 4x + -4x Combine like terms: 4x + -4x = 0 36 + 47x = -11 + 0 36 + 47x = -11 Add '-36' to each side of the equation. 36 + -36 + 47x = -11 + -36 Combine like terms: 36 + -36 = 0 0 + 47x = -11 + -36 47x = -11 + -36 Combine like terms: -11 + -36 = -47 47x = -47 Divide each side by '47'. x = -1 Simplifying x = -1
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