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Simplifying -4(-5x + 3) + -3x = 3(x + -7) + -7 Reorder the terms: -4(3 + -5x) + -3x = 3(x + -7) + -7 (3 * -4 + -5x * -4) + -3x = 3(x + -7) + -7 (-12 + 20x) + -3x = 3(x + -7) + -7 Combine like terms: 20x + -3x = 17x -12 + 17x = 3(x + -7) + -7 Reorder the terms: -12 + 17x = 3(-7 + x) + -7 -12 + 17x = (-7 * 3 + x * 3) + -7 -12 + 17x = (-21 + 3x) + -7 Reorder the terms: -12 + 17x = -21 + -7 + 3x Combine like terms: -21 + -7 = -28 -12 + 17x = -28 + 3x Solving -12 + 17x = -28 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -12 + 17x + -3x = -28 + 3x + -3x Combine like terms: 17x + -3x = 14x -12 + 14x = -28 + 3x + -3x Combine like terms: 3x + -3x = 0 -12 + 14x = -28 + 0 -12 + 14x = -28 Add '12' to each side of the equation. -12 + 12 + 14x = -28 + 12 Combine like terms: -12 + 12 = 0 0 + 14x = -28 + 12 14x = -28 + 12 Combine like terms: -28 + 12 = -16 14x = -16 Divide each side by '14'. x = -1.142857143 Simplifying x = -1.142857143
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