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Simplifying x + -44 = 4(2x + 3) + 7 Reorder the terms: -44 + x = 4(2x + 3) + 7 Reorder the terms: -44 + x = 4(3 + 2x) + 7 -44 + x = (3 * 4 + 2x * 4) + 7 -44 + x = (12 + 8x) + 7 Reorder the terms: -44 + x = 12 + 7 + 8x Combine like terms: 12 + 7 = 19 -44 + x = 19 + 8x Solving -44 + x = 19 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -44 + x + -8x = 19 + 8x + -8x Combine like terms: x + -8x = -7x -44 + -7x = 19 + 8x + -8x Combine like terms: 8x + -8x = 0 -44 + -7x = 19 + 0 -44 + -7x = 19 Add '44' to each side of the equation. -44 + 44 + -7x = 19 + 44 Combine like terms: -44 + 44 = 0 0 + -7x = 19 + 44 -7x = 19 + 44 Combine like terms: 19 + 44 = 63 -7x = 63 Divide each side by '-7'. x = -9 Simplifying x = -9
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