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Simplifying 6(x + 2) + 3(3x + 7) = 4(5 + 4x) + -7 Reorder the terms: 6(2 + x) + 3(3x + 7) = 4(5 + 4x) + -7 (2 * 6 + x * 6) + 3(3x + 7) = 4(5 + 4x) + -7 (12 + 6x) + 3(3x + 7) = 4(5 + 4x) + -7 Reorder the terms: 12 + 6x + 3(7 + 3x) = 4(5 + 4x) + -7 12 + 6x + (7 * 3 + 3x * 3) = 4(5 + 4x) + -7 12 + 6x + (21 + 9x) = 4(5 + 4x) + -7 Reorder the terms: 12 + 21 + 6x + 9x = 4(5 + 4x) + -7 Combine like terms: 12 + 21 = 33 33 + 6x + 9x = 4(5 + 4x) + -7 Combine like terms: 6x + 9x = 15x 33 + 15x = 4(5 + 4x) + -7 33 + 15x = (5 * 4 + 4x * 4) + -7 33 + 15x = (20 + 16x) + -7 Reorder the terms: 33 + 15x = 20 + -7 + 16x Combine like terms: 20 + -7 = 13 33 + 15x = 13 + 16x Solving 33 + 15x = 13 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 33 + 15x + -16x = 13 + 16x + -16x Combine like terms: 15x + -16x = -1x 33 + -1x = 13 + 16x + -16x Combine like terms: 16x + -16x = 0 33 + -1x = 13 + 0 33 + -1x = 13 Add '-33' to each side of the equation. 33 + -33 + -1x = 13 + -33 Combine like terms: 33 + -33 = 0 0 + -1x = 13 + -33 -1x = 13 + -33 Combine like terms: 13 + -33 = -20 -1x = -20 Divide each side by '-1'. x = 20 Simplifying x = 20
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