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Simplifying -4(-6x + 7) + -5x = 4(x + -8) + -1 Reorder the terms: -4(7 + -6x) + -5x = 4(x + -8) + -1 (7 * -4 + -6x * -4) + -5x = 4(x + -8) + -1 (-28 + 24x) + -5x = 4(x + -8) + -1 Combine like terms: 24x + -5x = 19x -28 + 19x = 4(x + -8) + -1 Reorder the terms: -28 + 19x = 4(-8 + x) + -1 -28 + 19x = (-8 * 4 + x * 4) + -1 -28 + 19x = (-32 + 4x) + -1 Reorder the terms: -28 + 19x = -32 + -1 + 4x Combine like terms: -32 + -1 = -33 -28 + 19x = -33 + 4x Solving -28 + 19x = -33 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -28 + 19x + -4x = -33 + 4x + -4x Combine like terms: 19x + -4x = 15x -28 + 15x = -33 + 4x + -4x Combine like terms: 4x + -4x = 0 -28 + 15x = -33 + 0 -28 + 15x = -33 Add '28' to each side of the equation. -28 + 28 + 15x = -33 + 28 Combine like terms: -28 + 28 = 0 0 + 15x = -33 + 28 15x = -33 + 28 Combine like terms: -33 + 28 = -5 15x = -5 Divide each side by '15'. x = -0.3333333333 Simplifying x = -0.3333333333
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