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Simplifying 2x + 3 + -6x = 4(9 + -6x) + 7 Reorder the terms: 3 + 2x + -6x = 4(9 + -6x) + 7 Combine like terms: 2x + -6x = -4x 3 + -4x = 4(9 + -6x) + 7 3 + -4x = (9 * 4 + -6x * 4) + 7 3 + -4x = (36 + -24x) + 7 Reorder the terms: 3 + -4x = 36 + 7 + -24x Combine like terms: 36 + 7 = 43 3 + -4x = 43 + -24x Solving 3 + -4x = 43 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. 3 + -4x + 24x = 43 + -24x + 24x Combine like terms: -4x + 24x = 20x 3 + 20x = 43 + -24x + 24x Combine like terms: -24x + 24x = 0 3 + 20x = 43 + 0 3 + 20x = 43 Add '-3' to each side of the equation. 3 + -3 + 20x = 43 + -3 Combine like terms: 3 + -3 = 0 0 + 20x = 43 + -3 20x = 43 + -3 Combine like terms: 43 + -3 = 40 20x = 40 Divide each side by '20'. x = 2 Simplifying x = 2
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