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Simplifying 6(x + -3) = 8(x + -2) + -4x Reorder the terms: 6(-3 + x) = 8(x + -2) + -4x (-3 * 6 + x * 6) = 8(x + -2) + -4x (-18 + 6x) = 8(x + -2) + -4x Reorder the terms: -18 + 6x = 8(-2 + x) + -4x -18 + 6x = (-2 * 8 + x * 8) + -4x -18 + 6x = (-16 + 8x) + -4x Combine like terms: 8x + -4x = 4x -18 + 6x = -16 + 4x Solving -18 + 6x = -16 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -18 + 6x + -4x = -16 + 4x + -4x Combine like terms: 6x + -4x = 2x -18 + 2x = -16 + 4x + -4x Combine like terms: 4x + -4x = 0 -18 + 2x = -16 + 0 -18 + 2x = -16 Add '18' to each side of the equation. -18 + 18 + 2x = -16 + 18 Combine like terms: -18 + 18 = 0 0 + 2x = -16 + 18 2x = -16 + 18 Combine like terms: -16 + 18 = 2 2x = 2 Divide each side by '2'. x = 1 Simplifying x = 1
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