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Simplifying 6(4x + -3) + 3 = 11(6x + -1) + -3 Reorder the terms: 6(-3 + 4x) + 3 = 11(6x + -1) + -3 (-3 * 6 + 4x * 6) + 3 = 11(6x + -1) + -3 (-18 + 24x) + 3 = 11(6x + -1) + -3 Reorder the terms: -18 + 3 + 24x = 11(6x + -1) + -3 Combine like terms: -18 + 3 = -15 -15 + 24x = 11(6x + -1) + -3 Reorder the terms: -15 + 24x = 11(-1 + 6x) + -3 -15 + 24x = (-1 * 11 + 6x * 11) + -3 -15 + 24x = (-11 + 66x) + -3 Reorder the terms: -15 + 24x = -11 + -3 + 66x Combine like terms: -11 + -3 = -14 -15 + 24x = -14 + 66x Solving -15 + 24x = -14 + 66x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-66x' to each side of the equation. -15 + 24x + -66x = -14 + 66x + -66x Combine like terms: 24x + -66x = -42x -15 + -42x = -14 + 66x + -66x Combine like terms: 66x + -66x = 0 -15 + -42x = -14 + 0 -15 + -42x = -14 Add '15' to each side of the equation. -15 + 15 + -42x = -14 + 15 Combine like terms: -15 + 15 = 0 0 + -42x = -14 + 15 -42x = -14 + 15 Combine like terms: -14 + 15 = 1 -42x = 1 Divide each side by '-42'. x = -0.02380952381 Simplifying x = -0.02380952381
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