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Simplifying 5x + -3(2x + -7) = 5(3x + -9) + 7x Reorder the terms: 5x + -3(-7 + 2x) = 5(3x + -9) + 7x 5x + (-7 * -3 + 2x * -3) = 5(3x + -9) + 7x 5x + (21 + -6x) = 5(3x + -9) + 7x Reorder the terms: 21 + 5x + -6x = 5(3x + -9) + 7x Combine like terms: 5x + -6x = -1x 21 + -1x = 5(3x + -9) + 7x Reorder the terms: 21 + -1x = 5(-9 + 3x) + 7x 21 + -1x = (-9 * 5 + 3x * 5) + 7x 21 + -1x = (-45 + 15x) + 7x Combine like terms: 15x + 7x = 22x 21 + -1x = -45 + 22x Solving 21 + -1x = -45 + 22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22x' to each side of the equation. 21 + -1x + -22x = -45 + 22x + -22x Combine like terms: -1x + -22x = -23x 21 + -23x = -45 + 22x + -22x Combine like terms: 22x + -22x = 0 21 + -23x = -45 + 0 21 + -23x = -45 Add '-21' to each side of the equation. 21 + -21 + -23x = -45 + -21 Combine like terms: 21 + -21 = 0 0 + -23x = -45 + -21 -23x = -45 + -21 Combine like terms: -45 + -21 = -66 -23x = -66 Divide each side by '-23'. x = 2.869565217 Simplifying x = 2.869565217
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