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Simplifying -3(-7x + 3) + -2x = 7(x + -2) + -4 Reorder the terms: -3(3 + -7x) + -2x = 7(x + -2) + -4 (3 * -3 + -7x * -3) + -2x = 7(x + -2) + -4 (-9 + 21x) + -2x = 7(x + -2) + -4 Combine like terms: 21x + -2x = 19x -9 + 19x = 7(x + -2) + -4 Reorder the terms: -9 + 19x = 7(-2 + x) + -4 -9 + 19x = (-2 * 7 + x * 7) + -4 -9 + 19x = (-14 + 7x) + -4 Reorder the terms: -9 + 19x = -14 + -4 + 7x Combine like terms: -14 + -4 = -18 -9 + 19x = -18 + 7x Solving -9 + 19x = -18 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -9 + 19x + -7x = -18 + 7x + -7x Combine like terms: 19x + -7x = 12x -9 + 12x = -18 + 7x + -7x Combine like terms: 7x + -7x = 0 -9 + 12x = -18 + 0 -9 + 12x = -18 Add '9' to each side of the equation. -9 + 9 + 12x = -18 + 9 Combine like terms: -9 + 9 = 0 0 + 12x = -18 + 9 12x = -18 + 9 Combine like terms: -18 + 9 = -9 12x = -9 Divide each side by '12'. x = -0.75 Simplifying x = -0.75
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