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Simplifying -5(3x + -7) + 5x = 4(x + -7) Reorder the terms: -5(-7 + 3x) + 5x = 4(x + -7) (-7 * -5 + 3x * -5) + 5x = 4(x + -7) (35 + -15x) + 5x = 4(x + -7) Combine like terms: -15x + 5x = -10x 35 + -10x = 4(x + -7) Reorder the terms: 35 + -10x = 4(-7 + x) 35 + -10x = (-7 * 4 + x * 4) 35 + -10x = (-28 + 4x) Solving 35 + -10x = -28 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 35 + -10x + -4x = -28 + 4x + -4x Combine like terms: -10x + -4x = -14x 35 + -14x = -28 + 4x + -4x Combine like terms: 4x + -4x = 0 35 + -14x = -28 + 0 35 + -14x = -28 Add '-35' to each side of the equation. 35 + -35 + -14x = -28 + -35 Combine like terms: 35 + -35 = 0 0 + -14x = -28 + -35 -14x = -28 + -35 Combine like terms: -28 + -35 = -63 -14x = -63 Divide each side by '-14'. x = 4.5 Simplifying x = 4.5
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