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Simplifying 9x + -4(2x + -7) = 15 + 2x Reorder the terms: 9x + -4(-7 + 2x) = 15 + 2x 9x + (-7 * -4 + 2x * -4) = 15 + 2x 9x + (28 + -8x) = 15 + 2x Reorder the terms: 28 + 9x + -8x = 15 + 2x Combine like terms: 9x + -8x = 1x 28 + 1x = 15 + 2x Solving 28 + 1x = 15 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 28 + 1x + -2x = 15 + 2x + -2x Combine like terms: 1x + -2x = -1x 28 + -1x = 15 + 2x + -2x Combine like terms: 2x + -2x = 0 28 + -1x = 15 + 0 28 + -1x = 15 Add '-28' to each side of the equation. 28 + -28 + -1x = 15 + -28 Combine like terms: 28 + -28 = 0 0 + -1x = 15 + -28 -1x = 15 + -28 Combine like terms: 15 + -28 = -13 -1x = -13 Divide each side by '-1'. x = 13 Simplifying x = 13
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