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Simplifying -5(7 + -6x) + -3 = -2x + -6 (7 * -5 + -6x * -5) + -3 = -2x + -6 (-35 + 30x) + -3 = -2x + -6 Reorder the terms: -35 + -3 + 30x = -2x + -6 Combine like terms: -35 + -3 = -38 -38 + 30x = -2x + -6 Reorder the terms: -38 + 30x = -6 + -2x Solving -38 + 30x = -6 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -38 + 30x + 2x = -6 + -2x + 2x Combine like terms: 30x + 2x = 32x -38 + 32x = -6 + -2x + 2x Combine like terms: -2x + 2x = 0 -38 + 32x = -6 + 0 -38 + 32x = -6 Add '38' to each side of the equation. -38 + 38 + 32x = -6 + 38 Combine like terms: -38 + 38 = 0 0 + 32x = -6 + 38 32x = -6 + 38 Combine like terms: -6 + 38 = 32 32x = 32 Divide each side by '32'. x = 1 Simplifying x = 1
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