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Simplifying 5(x + -3) + 2(2 + -1x) + 4 = 7(x + -1) + -2 Reorder the terms: 5(-3 + x) + 2(2 + -1x) + 4 = 7(x + -1) + -2 (-3 * 5 + x * 5) + 2(2 + -1x) + 4 = 7(x + -1) + -2 (-15 + 5x) + 2(2 + -1x) + 4 = 7(x + -1) + -2 -15 + 5x + (2 * 2 + -1x * 2) + 4 = 7(x + -1) + -2 -15 + 5x + (4 + -2x) + 4 = 7(x + -1) + -2 Reorder the terms: -15 + 4 + 4 + 5x + -2x = 7(x + -1) + -2 Combine like terms: -15 + 4 = -11 -11 + 4 + 5x + -2x = 7(x + -1) + -2 Combine like terms: -11 + 4 = -7 -7 + 5x + -2x = 7(x + -1) + -2 Combine like terms: 5x + -2x = 3x -7 + 3x = 7(x + -1) + -2 Reorder the terms: -7 + 3x = 7(-1 + x) + -2 -7 + 3x = (-1 * 7 + x * 7) + -2 -7 + 3x = (-7 + 7x) + -2 Reorder the terms: -7 + 3x = -7 + -2 + 7x Combine like terms: -7 + -2 = -9 -7 + 3x = -9 + 7x Solving -7 + 3x = -9 + 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. -7 + 3x + -7x = -9 + 7x + -7x Combine like terms: 3x + -7x = -4x -7 + -4x = -9 + 7x + -7x Combine like terms: 7x + -7x = 0 -7 + -4x = -9 + 0 -7 + -4x = -9 Add '7' to each side of the equation. -7 + 7 + -4x = -9 + 7 Combine like terms: -7 + 7 = 0 0 + -4x = -9 + 7 -4x = -9 + 7 Combine like terms: -9 + 7 = -2 -4x = -2 Divide each side by '-4'. x = 0.5 Simplifying x = 0.5
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