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Simplifying 4(x + -7) + -1(2 + -3x) = 6x Reorder the terms: 4(-7 + x) + -1(2 + -3x) = 6x (-7 * 4 + x * 4) + -1(2 + -3x) = 6x (-28 + 4x) + -1(2 + -3x) = 6x -28 + 4x + (2 * -1 + -3x * -1) = 6x -28 + 4x + (-2 + 3x) = 6x Reorder the terms: -28 + -2 + 4x + 3x = 6x Combine like terms: -28 + -2 = -30 -30 + 4x + 3x = 6x Combine like terms: 4x + 3x = 7x -30 + 7x = 6x Solving -30 + 7x = 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. -30 + 7x + -6x = 6x + -6x Combine like terms: 7x + -6x = 1x -30 + 1x = 6x + -6x Combine like terms: 6x + -6x = 0 -30 + 1x = 0 Add '30' to each side of the equation. -30 + 30 + 1x = 0 + 30 Combine like terms: -30 + 30 = 0 0 + 1x = 0 + 30 1x = 0 + 30 Combine like terms: 0 + 30 = 30 1x = 30 Divide each side by '1'. x = 30 Simplifying x = 30
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