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Simplifying 7(x + -1) + -3 + 5x = 3(4x + -3) + x Reorder the terms: 7(-1 + x) + -3 + 5x = 3(4x + -3) + x (-1 * 7 + x * 7) + -3 + 5x = 3(4x + -3) + x (-7 + 7x) + -3 + 5x = 3(4x + -3) + x Reorder the terms: -7 + -3 + 7x + 5x = 3(4x + -3) + x Combine like terms: -7 + -3 = -10 -10 + 7x + 5x = 3(4x + -3) + x Combine like terms: 7x + 5x = 12x -10 + 12x = 3(4x + -3) + x Reorder the terms: -10 + 12x = 3(-3 + 4x) + x -10 + 12x = (-3 * 3 + 4x * 3) + x -10 + 12x = (-9 + 12x) + x Combine like terms: 12x + x = 13x -10 + 12x = -9 + 13x Solving -10 + 12x = -9 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. -10 + 12x + -13x = -9 + 13x + -13x Combine like terms: 12x + -13x = -1x -10 + -1x = -9 + 13x + -13x Combine like terms: 13x + -13x = 0 -10 + -1x = -9 + 0 -10 + -1x = -9 Add '10' to each side of the equation. -10 + 10 + -1x = -9 + 10 Combine like terms: -10 + 10 = 0 0 + -1x = -9 + 10 -1x = -9 + 10 Combine like terms: -9 + 10 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1
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