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Simplifying 6x + -1(4x + 3) + -7 = (9x + 21) + -22 Reorder the terms: 6x + -1(3 + 4x) + -7 = (9x + 21) + -22 6x + (3 * -1 + 4x * -1) + -7 = (9x + 21) + -22 6x + (-3 + -4x) + -7 = (9x + 21) + -22 Reorder the terms: -3 + -7 + 6x + -4x = (9x + 21) + -22 Combine like terms: -3 + -7 = -10 -10 + 6x + -4x = (9x + 21) + -22 Combine like terms: 6x + -4x = 2x -10 + 2x = (9x + 21) + -22 Reorder the terms: -10 + 2x = (21 + 9x) + -22 Remove parenthesis around (21 + 9x) -10 + 2x = 21 + 9x + -22 Reorder the terms: -10 + 2x = 21 + -22 + 9x Combine like terms: 21 + -22 = -1 -10 + 2x = -1 + 9x Solving -10 + 2x = -1 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -10 + 2x + -9x = -1 + 9x + -9x Combine like terms: 2x + -9x = -7x -10 + -7x = -1 + 9x + -9x Combine like terms: 9x + -9x = 0 -10 + -7x = -1 + 0 -10 + -7x = -1 Add '10' to each side of the equation. -10 + 10 + -7x = -1 + 10 Combine like terms: -10 + 10 = 0 0 + -7x = -1 + 10 -7x = -1 + 10 Combine like terms: -1 + 10 = 9 -7x = 9 Divide each side by '-7'. x = -1.285714286 Simplifying x = -1.285714286
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