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Simplifying 3x + -7(-1x + 4) = -2(x + -5) + 6x Reorder the terms: 3x + -7(4 + -1x) = -2(x + -5) + 6x 3x + (4 * -7 + -1x * -7) = -2(x + -5) + 6x 3x + (-28 + 7x) = -2(x + -5) + 6x Reorder the terms: -28 + 3x + 7x = -2(x + -5) + 6x Combine like terms: 3x + 7x = 10x -28 + 10x = -2(x + -5) + 6x Reorder the terms: -28 + 10x = -2(-5 + x) + 6x -28 + 10x = (-5 * -2 + x * -2) + 6x -28 + 10x = (10 + -2x) + 6x Combine like terms: -2x + 6x = 4x -28 + 10x = 10 + 4x Solving -28 + 10x = 10 + 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. -28 + 10x + -4x = 10 + 4x + -4x Combine like terms: 10x + -4x = 6x -28 + 6x = 10 + 4x + -4x Combine like terms: 4x + -4x = 0 -28 + 6x = 10 + 0 -28 + 6x = 10 Add '28' to each side of the equation. -28 + 28 + 6x = 10 + 28 Combine like terms: -28 + 28 = 0 0 + 6x = 10 + 28 6x = 10 + 28 Combine like terms: 10 + 28 = 38 6x = 38 Divide each side by '6'. x = 6.333333333 Simplifying x = 6.333333333
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