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Simplifying 6(2x + -3) + -4x = -7(x + 3) + 3 Reorder the terms: 6(-3 + 2x) + -4x = -7(x + 3) + 3 (-3 * 6 + 2x * 6) + -4x = -7(x + 3) + 3 (-18 + 12x) + -4x = -7(x + 3) + 3 Combine like terms: 12x + -4x = 8x -18 + 8x = -7(x + 3) + 3 Reorder the terms: -18 + 8x = -7(3 + x) + 3 -18 + 8x = (3 * -7 + x * -7) + 3 -18 + 8x = (-21 + -7x) + 3 Reorder the terms: -18 + 8x = -21 + 3 + -7x Combine like terms: -21 + 3 = -18 -18 + 8x = -18 + -7x Add '18' to each side of the equation. -18 + 18 + 8x = -18 + 18 + -7x Combine like terms: -18 + 18 = 0 0 + 8x = -18 + 18 + -7x 8x = -18 + 18 + -7x Combine like terms: -18 + 18 = 0 8x = 0 + -7x 8x = -7x Solving 8x = -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 8x + 7x = -7x + 7x Combine like terms: 8x + 7x = 15x 15x = -7x + 7x Combine like terms: -7x + 7x = 0 15x = 0 Divide each side by '15'. x = 0 Simplifying x = 0
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