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Simplifying 6(x + -3) + 4(x + 3) = 7 + -2x Reorder the terms: 6(-3 + x) + 4(x + 3) = 7 + -2x (-3 * 6 + x * 6) + 4(x + 3) = 7 + -2x (-18 + 6x) + 4(x + 3) = 7 + -2x Reorder the terms: -18 + 6x + 4(3 + x) = 7 + -2x -18 + 6x + (3 * 4 + x * 4) = 7 + -2x -18 + 6x + (12 + 4x) = 7 + -2x Reorder the terms: -18 + 12 + 6x + 4x = 7 + -2x Combine like terms: -18 + 12 = -6 -6 + 6x + 4x = 7 + -2x Combine like terms: 6x + 4x = 10x -6 + 10x = 7 + -2x Solving -6 + 10x = 7 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -6 + 10x + 2x = 7 + -2x + 2x Combine like terms: 10x + 2x = 12x -6 + 12x = 7 + -2x + 2x Combine like terms: -2x + 2x = 0 -6 + 12x = 7 + 0 -6 + 12x = 7 Add '6' to each side of the equation. -6 + 6 + 12x = 7 + 6 Combine like terms: -6 + 6 = 0 0 + 12x = 7 + 6 12x = 7 + 6 Combine like terms: 7 + 6 = 13 12x = 13 Divide each side by '12'. x = 1.083333333 Simplifying x = 1.083333333
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