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Simplifying 7(-1x + 4) + 16 = 5x + -1(10x + -6) + -6 Reorder the terms: 7(4 + -1x) + 16 = 5x + -1(10x + -6) + -6 (4 * 7 + -1x * 7) + 16 = 5x + -1(10x + -6) + -6 (28 + -7x) + 16 = 5x + -1(10x + -6) + -6 Reorder the terms: 28 + 16 + -7x = 5x + -1(10x + -6) + -6 Combine like terms: 28 + 16 = 44 44 + -7x = 5x + -1(10x + -6) + -6 Reorder the terms: 44 + -7x = 5x + -1(-6 + 10x) + -6 44 + -7x = 5x + (-6 * -1 + 10x * -1) + -6 44 + -7x = 5x + (6 + -10x) + -6 Reorder the terms: 44 + -7x = 6 + -6 + 5x + -10x Combine like terms: 6 + -6 = 0 44 + -7x = 0 + 5x + -10x 44 + -7x = 5x + -10x Combine like terms: 5x + -10x = -5x 44 + -7x = -5x Solving 44 + -7x = -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 44 + -7x + 5x = -5x + 5x Combine like terms: -7x + 5x = -2x 44 + -2x = -5x + 5x Combine like terms: -5x + 5x = 0 44 + -2x = 0 Add '-44' to each side of the equation. 44 + -44 + -2x = 0 + -44 Combine like terms: 44 + -44 = 0 0 + -2x = 0 + -44 -2x = 0 + -44 Combine like terms: 0 + -44 = -44 -2x = -44 Divide each side by '-2'. x = 22 Simplifying x = 22
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