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Simplifying 3[(5x + 3) + -4] = 4(2x + -3) Reorder the terms: 3[(3 + 5x) + -4] = 4(2x + -3) Remove parenthesis around (3 + 5x) 3[3 + 5x + -4] = 4(2x + -3) Reorder the terms: 3[3 + -4 + 5x] = 4(2x + -3) Combine like terms: 3 + -4 = -1 3[-1 + 5x] = 4(2x + -3) [-1 * 3 + 5x * 3] = 4(2x + -3) [-3 + 15x] = 4(2x + -3) Reorder the terms: -3 + 15x = 4(-3 + 2x) -3 + 15x = (-3 * 4 + 2x * 4) -3 + 15x = (-12 + 8x) Solving -3 + 15x = -12 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -3 + 15x + -8x = -12 + 8x + -8x Combine like terms: 15x + -8x = 7x -3 + 7x = -12 + 8x + -8x Combine like terms: 8x + -8x = 0 -3 + 7x = -12 + 0 -3 + 7x = -12 Add '3' to each side of the equation. -3 + 3 + 7x = -12 + 3 Combine like terms: -3 + 3 = 0 0 + 7x = -12 + 3 7x = -12 + 3 Combine like terms: -12 + 3 = -9 7x = -9 Divide each side by '7'. x = -1.285714286 Simplifying x = -1.285714286
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