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Simplifying -1(x + 7) = 4(x + 3) + -6x Reorder the terms: -1(7 + x) = 4(x + 3) + -6x (7 * -1 + x * -1) = 4(x + 3) + -6x (-7 + -1x) = 4(x + 3) + -6x Reorder the terms: -7 + -1x = 4(3 + x) + -6x -7 + -1x = (3 * 4 + x * 4) + -6x -7 + -1x = (12 + 4x) + -6x Combine like terms: 4x + -6x = -2x -7 + -1x = 12 + -2x Solving -7 + -1x = 12 + -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. -7 + -1x + 2x = 12 + -2x + 2x Combine like terms: -1x + 2x = 1x -7 + 1x = 12 + -2x + 2x Combine like terms: -2x + 2x = 0 -7 + 1x = 12 + 0 -7 + 1x = 12 Add '7' to each side of the equation. -7 + 7 + 1x = 12 + 7 Combine like terms: -7 + 7 = 0 0 + 1x = 12 + 7 1x = 12 + 7 Combine like terms: 12 + 7 = 19 1x = 19 Divide each side by '1'. x = 19 Simplifying x = 19
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