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Simplifying 3(x + -7) + -1 = -4(-5x + 9) + -1x Reorder the terms: 3(-7 + x) + -1 = -4(-5x + 9) + -1x (-7 * 3 + x * 3) + -1 = -4(-5x + 9) + -1x (-21 + 3x) + -1 = -4(-5x + 9) + -1x Reorder the terms: -21 + -1 + 3x = -4(-5x + 9) + -1x Combine like terms: -21 + -1 = -22 -22 + 3x = -4(-5x + 9) + -1x Reorder the terms: -22 + 3x = -4(9 + -5x) + -1x -22 + 3x = (9 * -4 + -5x * -4) + -1x -22 + 3x = (-36 + 20x) + -1x Combine like terms: 20x + -1x = 19x -22 + 3x = -36 + 19x Solving -22 + 3x = -36 + 19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19x' to each side of the equation. -22 + 3x + -19x = -36 + 19x + -19x Combine like terms: 3x + -19x = -16x -22 + -16x = -36 + 19x + -19x Combine like terms: 19x + -19x = 0 -22 + -16x = -36 + 0 -22 + -16x = -36 Add '22' to each side of the equation. -22 + 22 + -16x = -36 + 22 Combine like terms: -22 + 22 = 0 0 + -16x = -36 + 22 -16x = -36 + 22 Combine like terms: -36 + 22 = -14 -16x = -14 Divide each side by '-16'. x = 0.875 Simplifying x = 0.875
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