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Simplifying 6(5x + -3) + 4 = 2(3 + -1x) + 14 Reorder the terms: 6(-3 + 5x) + 4 = 2(3 + -1x) + 14 (-3 * 6 + 5x * 6) + 4 = 2(3 + -1x) + 14 (-18 + 30x) + 4 = 2(3 + -1x) + 14 Reorder the terms: -18 + 4 + 30x = 2(3 + -1x) + 14 Combine like terms: -18 + 4 = -14 -14 + 30x = 2(3 + -1x) + 14 -14 + 30x = (3 * 2 + -1x * 2) + 14 -14 + 30x = (6 + -2x) + 14 Reorder the terms: -14 + 30x = 6 + 14 + -2x Combine like terms: 6 + 14 = 20 -14 + 30x = 20 + -2x Solving -14 + 30x = 20 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -14 + 30x + 2x = 20 + -2x + 2x Combine like terms: 30x + 2x = 32x -14 + 32x = 20 + -2x + 2x Combine like terms: -2x + 2x = 0 -14 + 32x = 20 + 0 -14 + 32x = 20 Add '14' to each side of the equation. -14 + 14 + 32x = 20 + 14 Combine like terms: -14 + 14 = 0 0 + 32x = 20 + 14 32x = 20 + 14 Combine like terms: 20 + 14 = 34 32x = 34 Divide each side by '32'. x = 1.0625 Simplifying x = 1.0625
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