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Simplifying 4(x + -3) + -5x = 7(x + -2) + -20 Reorder the terms: 4(-3 + x) + -5x = 7(x + -2) + -20 (-3 * 4 + x * 4) + -5x = 7(x + -2) + -20 (-12 + 4x) + -5x = 7(x + -2) + -20 Combine like terms: 4x + -5x = -1x -12 + -1x = 7(x + -2) + -20 Reorder the terms: -12 + -1x = 7(-2 + x) + -20 -12 + -1x = (-2 * 7 + x * 7) + -20 -12 + -1x = (-14 + 7x) + -20 Reorder the terms: -12 + -1x = -14 + -20 + 7x Combine like terms: -14 + -20 = -34 -12 + -1x = -34 + 7x Solving -12 + -1x = -34 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -12 + -1x + -7x = -34 + 7x + -7x Combine like terms: -1x + -7x = -8x -12 + -8x = -34 + 7x + -7x Combine like terms: 7x + -7x = 0 -12 + -8x = -34 + 0 -12 + -8x = -34 Add '12' to each side of the equation. -12 + 12 + -8x = -34 + 12 Combine like terms: -12 + 12 = 0 0 + -8x = -34 + 12 -8x = -34 + 12 Combine like terms: -34 + 12 = -22 -8x = -22 Divide each side by '-8'. x = 2.75 Simplifying x = 2.75
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