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Simplifying 6(x + -3 + 4x) = 4(2x + -6 + 5x + 2) Reorder the terms: 6(-3 + x + 4x) = 4(2x + -6 + 5x + 2) Combine like terms: x + 4x = 5x 6(-3 + 5x) = 4(2x + -6 + 5x + 2) (-3 * 6 + 5x * 6) = 4(2x + -6 + 5x + 2) (-18 + 30x) = 4(2x + -6 + 5x + 2) Reorder the terms: -18 + 30x = 4(-6 + 2 + 2x + 5x) Combine like terms: -6 + 2 = -4 -18 + 30x = 4(-4 + 2x + 5x) Combine like terms: 2x + 5x = 7x -18 + 30x = 4(-4 + 7x) -18 + 30x = (-4 * 4 + 7x * 4) -18 + 30x = (-16 + 28x) Solving -18 + 30x = -16 + 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. -18 + 30x + -28x = -16 + 28x + -28x Combine like terms: 30x + -28x = 2x -18 + 2x = -16 + 28x + -28x Combine like terms: 28x + -28x = 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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