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Simplifying 5(x + -3) + -2(x + -7) = -7(2x + -5) Reorder the terms: 5(-3 + x) + -2(x + -7) = -7(2x + -5) (-3 * 5 + x * 5) + -2(x + -7) = -7(2x + -5) (-15 + 5x) + -2(x + -7) = -7(2x + -5) Reorder the terms: -15 + 5x + -2(-7 + x) = -7(2x + -5) -15 + 5x + (-7 * -2 + x * -2) = -7(2x + -5) -15 + 5x + (14 + -2x) = -7(2x + -5) Reorder the terms: -15 + 14 + 5x + -2x = -7(2x + -5) Combine like terms: -15 + 14 = -1 -1 + 5x + -2x = -7(2x + -5) Combine like terms: 5x + -2x = 3x -1 + 3x = -7(2x + -5) Reorder the terms: -1 + 3x = -7(-5 + 2x) -1 + 3x = (-5 * -7 + 2x * -7) -1 + 3x = (35 + -14x) Solving -1 + 3x = 35 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. -1 + 3x + 14x = 35 + -14x + 14x Combine like terms: 3x + 14x = 17x -1 + 17x = 35 + -14x + 14x Combine like terms: -14x + 14x = 0 -1 + 17x = 35 + 0 -1 + 17x = 35 Add '1' to each side of the equation. -1 + 1 + 17x = 35 + 1 Combine like terms: -1 + 1 = 0 0 + 17x = 35 + 1 17x = 35 + 1 Combine like terms: 35 + 1 = 36 17x = 36 Divide each side by '17'. x = 2.117647059 Simplifying x = 2.117647059
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