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Simplifying 3x + -1(2x + 7) = 4(x + -3) + 5x Reorder the terms: 3x + -1(7 + 2x) = 4(x + -3) + 5x 3x + (7 * -1 + 2x * -1) = 4(x + -3) + 5x 3x + (-7 + -2x) = 4(x + -3) + 5x Reorder the terms: -7 + 3x + -2x = 4(x + -3) + 5x Combine like terms: 3x + -2x = 1x -7 + 1x = 4(x + -3) + 5x Reorder the terms: -7 + 1x = 4(-3 + x) + 5x -7 + 1x = (-3 * 4 + x * 4) + 5x -7 + 1x = (-12 + 4x) + 5x Combine like terms: 4x + 5x = 9x -7 + 1x = -12 + 9x Solving -7 + 1x = -12 + 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 = -12 + 9x + -9x Combine like terms: 1x + -9x = -8x -7 + -8x = -12 + 9x + -9x Combine like terms: 9x + -9x = 0 -7 + -8x = -12 + 0 -7 + -8x = -12 Add '7' to each side of the equation. -7 + 7 + -8x = -12 + 7 Combine like terms: -7 + 7 = 0 0 + -8x = -12 + 7 -8x = -12 + 7 Combine like terms: -12 + 7 = -5 -8x = -5 Divide each side by '-8'. x = 0.625 Simplifying x = 0.625
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