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Simplifying 4(2x + -3) + -4 = 2(3x + 5) + 6 Reorder the terms: 4(-3 + 2x) + -4 = 2(3x + 5) + 6 (-3 * 4 + 2x * 4) + -4 = 2(3x + 5) + 6 (-12 + 8x) + -4 = 2(3x + 5) + 6 Reorder the terms: -12 + -4 + 8x = 2(3x + 5) + 6 Combine like terms: -12 + -4 = -16 -16 + 8x = 2(3x + 5) + 6 Reorder the terms: -16 + 8x = 2(5 + 3x) + 6 -16 + 8x = (5 * 2 + 3x * 2) + 6 -16 + 8x = (10 + 6x) + 6 Reorder the terms: -16 + 8x = 10 + 6 + 6x Combine like terms: 10 + 6 = 16 -16 + 8x = 16 + 6x Solving -16 + 8x = 16 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -16 + 8x + -6x = 16 + 6x + -6x Combine like terms: 8x + -6x = 2x -16 + 2x = 16 + 6x + -6x Combine like terms: 6x + -6x = 0 -16 + 2x = 16 + 0 -16 + 2x = 16 Add '16' to each side of the equation. -16 + 16 + 2x = 16 + 16 Combine like terms: -16 + 16 = 0 0 + 2x = 16 + 16 2x = 16 + 16 Combine like terms: 16 + 16 = 32 2x = 32 Divide each side by '2'. x = 16 Simplifying x = 16
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