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Simplifying 4x + -1(6x + 3) = 4x + -45 Reorder the terms: 4x + -1(3 + 6x) = 4x + -45 4x + (3 * -1 + 6x * -1) = 4x + -45 4x + (-3 + -6x) = 4x + -45 Reorder the terms: -3 + 4x + -6x = 4x + -45 Combine like terms: 4x + -6x = -2x -3 + -2x = 4x + -45 Reorder the terms: -3 + -2x = -45 + 4x Solving -3 + -2x = -45 + 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. -3 + -2x + -4x = -45 + 4x + -4x Combine like terms: -2x + -4x = -6x -3 + -6x = -45 + 4x + -4x Combine like terms: 4x + -4x = 0 -3 + -6x = -45 + 0 -3 + -6x = -45 Add '3' to each side of the equation. -3 + 3 + -6x = -45 + 3 Combine like terms: -3 + 3 = 0 0 + -6x = -45 + 3 -6x = -45 + 3 Combine like terms: -45 + 3 = -42 -6x = -42 Divide each side by '-6'. x = 7 Simplifying x = 7
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