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Simplifying 4x + -3(x + 6) = 7 + -4(x + 2) Reorder the terms: 4x + -3(6 + x) = 7 + -4(x + 2) 4x + (6 * -3 + x * -3) = 7 + -4(x + 2) 4x + (-18 + -3x) = 7 + -4(x + 2) Reorder the terms: -18 + 4x + -3x = 7 + -4(x + 2) Combine like terms: 4x + -3x = 1x -18 + 1x = 7 + -4(x + 2) Reorder the terms: -18 + 1x = 7 + -4(2 + x) -18 + 1x = 7 + (2 * -4 + x * -4) -18 + 1x = 7 + (-8 + -4x) Combine like terms: 7 + -8 = -1 -18 + 1x = -1 + -4x Solving -18 + 1x = -1 + -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 + 1x + 4x = -1 + -4x + 4x Combine like terms: 1x + 4x = 5x -18 + 5x = -1 + -4x + 4x Combine like terms: -4x + 4x = 0 -18 + 5x = -1 + 0 -18 + 5x = -1 Add '18' to each side of the equation. -18 + 18 + 5x = -1 + 18 Combine like terms: -18 + 18 = 0 0 + 5x = -1 + 18 5x = -1 + 18 Combine like terms: -1 + 18 = 17 5x = 17 Divide each side by '5'. x = 3.4 Simplifying x = 3.4
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