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Simplifying -3(x + 6) + 4 = 7(x + 4) + 4 Reorder the terms: -3(6 + x) + 4 = 7(x + 4) + 4 (6 * -3 + x * -3) + 4 = 7(x + 4) + 4 (-18 + -3x) + 4 = 7(x + 4) + 4 Reorder the terms: -18 + 4 + -3x = 7(x + 4) + 4 Combine like terms: -18 + 4 = -14 -14 + -3x = 7(x + 4) + 4 Reorder the terms: -14 + -3x = 7(4 + x) + 4 -14 + -3x = (4 * 7 + x * 7) + 4 -14 + -3x = (28 + 7x) + 4 Reorder the terms: -14 + -3x = 28 + 4 + 7x Combine like terms: 28 + 4 = 32 -14 + -3x = 32 + 7x Solving -14 + -3x = 32 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -14 + -3x + -7x = 32 + 7x + -7x Combine like terms: -3x + -7x = -10x -14 + -10x = 32 + 7x + -7x Combine like terms: 7x + -7x = 0 -14 + -10x = 32 + 0 -14 + -10x = 32 Add '14' to each side of the equation. -14 + 14 + -10x = 32 + 14 Combine like terms: -14 + 14 = 0 0 + -10x = 32 + 14 -10x = 32 + 14 Combine like terms: 32 + 14 = 46 -10x = 46 Divide each side by '-10'. x = -4.6 Simplifying x = -4.6
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