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Simplifying 4(2x + 1) + -6x = 3(3x + -1) Reorder the terms: 4(1 + 2x) + -6x = 3(3x + -1) (1 * 4 + 2x * 4) + -6x = 3(3x + -1) (4 + 8x) + -6x = 3(3x + -1) Combine like terms: 8x + -6x = 2x 4 + 2x = 3(3x + -1) Reorder the terms: 4 + 2x = 3(-1 + 3x) 4 + 2x = (-1 * 3 + 3x * 3) 4 + 2x = (-3 + 9x) Solving 4 + 2x = -3 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 4 + 2x + -9x = -3 + 9x + -9x Combine like terms: 2x + -9x = -7x 4 + -7x = -3 + 9x + -9x Combine like terms: 9x + -9x = 0 4 + -7x = -3 + 0 4 + -7x = -3 Add '-4' to each side of the equation. 4 + -4 + -7x = -3 + -4 Combine like terms: 4 + -4 = 0 0 + -7x = -3 + -4 -7x = -3 + -4 Combine like terms: -3 + -4 = -7 -7x = -7 Divide each side by '-7'. x = 1 Simplifying x = 1
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