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Simplifying 4x + -45 = 2(-1x + 9) + 3 Reorder the terms: -45 + 4x = 2(-1x + 9) + 3 Reorder the terms: -45 + 4x = 2(9 + -1x) + 3 -45 + 4x = (9 * 2 + -1x * 2) + 3 -45 + 4x = (18 + -2x) + 3 Reorder the terms: -45 + 4x = 18 + 3 + -2x Combine like terms: 18 + 3 = 21 -45 + 4x = 21 + -2x Solving -45 + 4x = 21 + -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. -45 + 4x + 2x = 21 + -2x + 2x Combine like terms: 4x + 2x = 6x -45 + 6x = 21 + -2x + 2x Combine like terms: -2x + 2x = 0 -45 + 6x = 21 + 0 -45 + 6x = 21 Add '45' to each side of the equation. -45 + 45 + 6x = 21 + 45 Combine like terms: -45 + 45 = 0 0 + 6x = 21 + 45 6x = 21 + 45 Combine like terms: 21 + 45 = 66 6x = 66 Divide each side by '6'. x = 11 Simplifying x = 11
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