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Simplifying 5x(x + -3) + 69 = 15x + -1x(7 + -5x) Reorder the terms: 5x(-3 + x) + 69 = 15x + -1x(7 + -5x) (-3 * 5x + x * 5x) + 69 = 15x + -1x(7 + -5x) (-15x + 5x2) + 69 = 15x + -1x(7 + -5x) Reorder the terms: 69 + -15x + 5x2 = 15x + -1x(7 + -5x) 69 + -15x + 5x2 = 15x + (7 * -1x + -5x * -1x) 69 + -15x + 5x2 = 15x + (-7x + 5x2) Combine like terms: 15x + -7x = 8x 69 + -15x + 5x2 = 8x + 5x2 Add '-5x2' to each side of the equation. 69 + -15x + 5x2 + -5x2 = 8x + 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 69 + -15x + 0 = 8x + 5x2 + -5x2 69 + -15x = 8x + 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 69 + -15x = 8x + 0 69 + -15x = 8x Solving 69 + -15x = 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. 69 + -15x + -8x = 8x + -8x Combine like terms: -15x + -8x = -23x 69 + -23x = 8x + -8x Combine like terms: 8x + -8x = 0 69 + -23x = 0 Add '-69' to each side of the equation. 69 + -69 + -23x = 0 + -69 Combine like terms: 69 + -69 = 0 0 + -23x = 0 + -69 -23x = 0 + -69 Combine like terms: 0 + -69 = -69 -23x = -69 Divide each side by '-23'. x = 3 Simplifying x = 3
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