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Simplifying 7(x + 3) + -3x + 12 = 6(x + 4) + -3x + 4 Reorder the terms: 7(3 + x) + -3x + 12 = 6(x + 4) + -3x + 4 (3 * 7 + x * 7) + -3x + 12 = 6(x + 4) + -3x + 4 (21 + 7x) + -3x + 12 = 6(x + 4) + -3x + 4 Reorder the terms: 21 + 12 + 7x + -3x = 6(x + 4) + -3x + 4 Combine like terms: 21 + 12 = 33 33 + 7x + -3x = 6(x + 4) + -3x + 4 Combine like terms: 7x + -3x = 4x 33 + 4x = 6(x + 4) + -3x + 4 Reorder the terms: 33 + 4x = 6(4 + x) + -3x + 4 33 + 4x = (4 * 6 + x * 6) + -3x + 4 33 + 4x = (24 + 6x) + -3x + 4 Reorder the terms: 33 + 4x = 24 + 4 + 6x + -3x Combine like terms: 24 + 4 = 28 33 + 4x = 28 + 6x + -3x Combine like terms: 6x + -3x = 3x 33 + 4x = 28 + 3x Solving 33 + 4x = 28 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 33 + 4x + -3x = 28 + 3x + -3x Combine like terms: 4x + -3x = 1x 33 + 1x = 28 + 3x + -3x Combine like terms: 3x + -3x = 0 33 + 1x = 28 + 0 33 + 1x = 28 Add '-33' to each side of the equation. 33 + -33 + 1x = 28 + -33 Combine like terms: 33 + -33 = 0 0 + 1x = 28 + -33 1x = 28 + -33 Combine like terms: 28 + -33 = -5 1x = -5 Divide each side by '1'. x = -5 Simplifying x = -5
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