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Simplifying 3(3x + -1) = 4(4x + 1) Reorder the terms: 3(-1 + 3x) = 4(4x + 1) (-1 * 3 + 3x * 3) = 4(4x + 1) (-3 + 9x) = 4(4x + 1) Reorder the terms: -3 + 9x = 4(1 + 4x) -3 + 9x = (1 * 4 + 4x * 4) -3 + 9x = (4 + 16x) Solving -3 + 9x = 4 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -3 + 9x + -16x = 4 + 16x + -16x Combine like terms: 9x + -16x = -7x -3 + -7x = 4 + 16x + -16x Combine like terms: 16x + -16x = 0 -3 + -7x = 4 + 0 -3 + -7x = 4 Add '3' to each side of the equation. -3 + 3 + -7x = 4 + 3 Combine like terms: -3 + 3 = 0 0 + -7x = 4 + 3 -7x = 4 + 3 Combine like terms: 4 + 3 = 7 -7x = 7 Divide each side by '-7'. x = -1 Simplifying x = -1
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