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Simplifying 4x + -1(3x + 7) = 9x + -15 Reorder the terms: 4x + -1(7 + 3x) = 9x + -15 4x + (7 * -1 + 3x * -1) = 9x + -15 4x + (-7 + -3x) = 9x + -15 Reorder the terms: -7 + 4x + -3x = 9x + -15 Combine like terms: 4x + -3x = 1x -7 + 1x = 9x + -15 Reorder the terms: -7 + 1x = -15 + 9x Solving -7 + 1x = -15 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -7 + 1x + -9x = -15 + 9x + -9x Combine like terms: 1x + -9x = -8x -7 + -8x = -15 + 9x + -9x Combine like terms: 9x + -9x = 0 -7 + -8x = -15 + 0 -7 + -8x = -15 Add '7' to each side of the equation. -7 + 7 + -8x = -15 + 7 Combine like terms: -7 + 7 = 0 0 + -8x = -15 + 7 -8x = -15 + 7 Combine like terms: -15 + 7 = -8 -8x = -8 Divide each side by '-8'. x = 1 Simplifying x = 1
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