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Simplifying -6(-4x + 3) + -5x = 7(x + -2) + -1 Reorder the terms: -6(3 + -4x) + -5x = 7(x + -2) + -1 (3 * -6 + -4x * -6) + -5x = 7(x + -2) + -1 (-18 + 24x) + -5x = 7(x + -2) + -1 Combine like terms: 24x + -5x = 19x -18 + 19x = 7(x + -2) + -1 Reorder the terms: -18 + 19x = 7(-2 + x) + -1 -18 + 19x = (-2 * 7 + x * 7) + -1 -18 + 19x = (-14 + 7x) + -1 Reorder the terms: -18 + 19x = -14 + -1 + 7x Combine like terms: -14 + -1 = -15 -18 + 19x = -15 + 7x Solving -18 + 19x = -15 + 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. -18 + 19x + -7x = -15 + 7x + -7x Combine like terms: 19x + -7x = 12x -18 + 12x = -15 + 7x + -7x Combine like terms: 7x + -7x = 0 -18 + 12x = -15 + 0 -18 + 12x = -15 Add '18' to each side of the equation. -18 + 18 + 12x = -15 + 18 Combine like terms: -18 + 18 = 0 0 + 12x = -15 + 18 12x = -15 + 18 Combine like terms: -15 + 18 = 3 12x = 3 Divide each side by '12'. x = 0.25 Simplifying x = 0.25
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