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Simplifying 4(4x + -3) + 44 = -5(x + -9) + 18x + -4 Reorder the terms: 4(-3 + 4x) + 44 = -5(x + -9) + 18x + -4 (-3 * 4 + 4x * 4) + 44 = -5(x + -9) + 18x + -4 (-12 + 16x) + 44 = -5(x + -9) + 18x + -4 Reorder the terms: -12 + 44 + 16x = -5(x + -9) + 18x + -4 Combine like terms: -12 + 44 = 32 32 + 16x = -5(x + -9) + 18x + -4 Reorder the terms: 32 + 16x = -5(-9 + x) + 18x + -4 32 + 16x = (-9 * -5 + x * -5) + 18x + -4 32 + 16x = (45 + -5x) + 18x + -4 Reorder the terms: 32 + 16x = 45 + -4 + -5x + 18x Combine like terms: 45 + -4 = 41 32 + 16x = 41 + -5x + 18x Combine like terms: -5x + 18x = 13x 32 + 16x = 41 + 13x Solving 32 + 16x = 41 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 32 + 16x + -13x = 41 + 13x + -13x Combine like terms: 16x + -13x = 3x 32 + 3x = 41 + 13x + -13x Combine like terms: 13x + -13x = 0 32 + 3x = 41 + 0 32 + 3x = 41 Add '-32' to each side of the equation. 32 + -32 + 3x = 41 + -32 Combine like terms: 32 + -32 = 0 0 + 3x = 41 + -32 3x = 41 + -32 Combine like terms: 41 + -32 = 9 3x = 9 Divide each side by '3'. x = 3 Simplifying x = 3
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