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Simplifying 4(4x + -3) = 3(5x + -3) Reorder the terms: 4(-3 + 4x) = 3(5x + -3) (-3 * 4 + 4x * 4) = 3(5x + -3) (-12 + 16x) = 3(5x + -3) Reorder the terms: -12 + 16x = 3(-3 + 5x) -12 + 16x = (-3 * 3 + 5x * 3) -12 + 16x = (-9 + 15x) Solving -12 + 16x = -9 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -12 + 16x + -15x = -9 + 15x + -15x Combine like terms: 16x + -15x = 1x -12 + 1x = -9 + 15x + -15x Combine like terms: 15x + -15x = 0 -12 + 1x = -9 + 0 -12 + 1x = -9 Add '12' to each side of the equation. -12 + 12 + 1x = -9 + 12 Combine like terms: -12 + 12 = 0 0 + 1x = -9 + 12 1x = -9 + 12 Combine like terms: -9 + 12 = 3 1x = 3 Divide each side by '1'. x = 3 Simplifying x = 3
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