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Simplifying 7(x + -4) + 3x = 6(x + 6) Reorder the terms: 7(-4 + x) + 3x = 6(x + 6) (-4 * 7 + x * 7) + 3x = 6(x + 6) (-28 + 7x) + 3x = 6(x + 6) Combine like terms: 7x + 3x = 10x -28 + 10x = 6(x + 6) Reorder the terms: -28 + 10x = 6(6 + x) -28 + 10x = (6 * 6 + x * 6) -28 + 10x = (36 + 6x) Solving -28 + 10x = 36 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -28 + 10x + -6x = 36 + 6x + -6x Combine like terms: 10x + -6x = 4x -28 + 4x = 36 + 6x + -6x Combine like terms: 6x + -6x = 0 -28 + 4x = 36 + 0 -28 + 4x = 36 Add '28' to each side of the equation. -28 + 28 + 4x = 36 + 28 Combine like terms: -28 + 28 = 0 0 + 4x = 36 + 28 4x = 36 + 28 Combine like terms: 36 + 28 = 64 4x = 64 Divide each side by '4'. x = 16 Simplifying x = 16
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