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Simplifying 4(x + -7) = -9(10 + -2x) Reorder the terms: 4(-7 + x) = -9(10 + -2x) (-7 * 4 + x * 4) = -9(10 + -2x) (-28 + 4x) = -9(10 + -2x) -28 + 4x = (10 * -9 + -2x * -9) -28 + 4x = (-90 + 18x) Solving -28 + 4x = -90 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -28 + 4x + -18x = -90 + 18x + -18x Combine like terms: 4x + -18x = -14x -28 + -14x = -90 + 18x + -18x Combine like terms: 18x + -18x = 0 -28 + -14x = -90 + 0 -28 + -14x = -90 Add '28' to each side of the equation. -28 + 28 + -14x = -90 + 28 Combine like terms: -28 + 28 = 0 0 + -14x = -90 + 28 -14x = -90 + 28 Combine like terms: -90 + 28 = -62 -14x = -62 Divide each side by '-14'. x = 4.428571429 Simplifying x = 4.428571429
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