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Simplifying -5(x + 3) = 4(2x + -7) Reorder the terms: -5(3 + x) = 4(2x + -7) (3 * -5 + x * -5) = 4(2x + -7) (-15 + -5x) = 4(2x + -7) Reorder the terms: -15 + -5x = 4(-7 + 2x) -15 + -5x = (-7 * 4 + 2x * 4) -15 + -5x = (-28 + 8x) Solving -15 + -5x = -28 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -15 + -5x + -8x = -28 + 8x + -8x Combine like terms: -5x + -8x = -13x -15 + -13x = -28 + 8x + -8x Combine like terms: 8x + -8x = 0 -15 + -13x = -28 + 0 -15 + -13x = -28 Add '15' to each side of the equation. -15 + 15 + -13x = -28 + 15 Combine like terms: -15 + 15 = 0 0 + -13x = -28 + 15 -13x = -28 + 15 Combine like terms: -28 + 15 = -13 -13x = -13 Divide each side by '-13'. x = 1 Simplifying x = 1
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