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Simplifying -2x + -29 = -7(3x + -4) Reorder the terms: -29 + -2x = -7(3x + -4) Reorder the terms: -29 + -2x = -7(-4 + 3x) -29 + -2x = (-4 * -7 + 3x * -7) -29 + -2x = (28 + -21x) Solving -29 + -2x = 28 + -21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21x' to each side of the equation. -29 + -2x + 21x = 28 + -21x + 21x Combine like terms: -2x + 21x = 19x -29 + 19x = 28 + -21x + 21x Combine like terms: -21x + 21x = 0 -29 + 19x = 28 + 0 -29 + 19x = 28 Add '29' to each side of the equation. -29 + 29 + 19x = 28 + 29 Combine like terms: -29 + 29 = 0 0 + 19x = 28 + 29 19x = 28 + 29 Combine like terms: 28 + 29 = 57 19x = 57 Divide each side by '19'. x = 3 Simplifying x = 3
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