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Simplifying 2(2x + -7) + 4(3x + 2) = 6(5x + 9) + 3 Reorder the terms: 2(-7 + 2x) + 4(3x + 2) = 6(5x + 9) + 3 (-7 * 2 + 2x * 2) + 4(3x + 2) = 6(5x + 9) + 3 (-14 + 4x) + 4(3x + 2) = 6(5x + 9) + 3 Reorder the terms: -14 + 4x + 4(2 + 3x) = 6(5x + 9) + 3 -14 + 4x + (2 * 4 + 3x * 4) = 6(5x + 9) + 3 -14 + 4x + (8 + 12x) = 6(5x + 9) + 3 Reorder the terms: -14 + 8 + 4x + 12x = 6(5x + 9) + 3 Combine like terms: -14 + 8 = -6 -6 + 4x + 12x = 6(5x + 9) + 3 Combine like terms: 4x + 12x = 16x -6 + 16x = 6(5x + 9) + 3 Reorder the terms: -6 + 16x = 6(9 + 5x) + 3 -6 + 16x = (9 * 6 + 5x * 6) + 3 -6 + 16x = (54 + 30x) + 3 Reorder the terms: -6 + 16x = 54 + 3 + 30x Combine like terms: 54 + 3 = 57 -6 + 16x = 57 + 30x Solving -6 + 16x = 57 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. -6 + 16x + -30x = 57 + 30x + -30x Combine like terms: 16x + -30x = -14x -6 + -14x = 57 + 30x + -30x Combine like terms: 30x + -30x = 0 -6 + -14x = 57 + 0 -6 + -14x = 57 Add '6' to each side of the equation. -6 + 6 + -14x = 57 + 6 Combine like terms: -6 + 6 = 0 0 + -14x = 57 + 6 -14x = 57 + 6 Combine like terms: 57 + 6 = 63 -14x = 63 Divide each side by '-14'. x = -4.5 Simplifying x = -4.5
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