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Simplifying 7 + 3(2x + -4) + x = 5x + -4(5 + -1x) Reorder the terms: 7 + 3(-4 + 2x) + x = 5x + -4(5 + -1x) 7 + (-4 * 3 + 2x * 3) + x = 5x + -4(5 + -1x) 7 + (-12 + 6x) + x = 5x + -4(5 + -1x) Combine like terms: 7 + -12 = -5 -5 + 6x + x = 5x + -4(5 + -1x) Combine like terms: 6x + x = 7x -5 + 7x = 5x + -4(5 + -1x) -5 + 7x = 5x + (5 * -4 + -1x * -4) -5 + 7x = 5x + (-20 + 4x) Reorder the terms: -5 + 7x = -20 + 5x + 4x Combine like terms: 5x + 4x = 9x -5 + 7x = -20 + 9x Solving -5 + 7x = -20 + 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. -5 + 7x + -9x = -20 + 9x + -9x Combine like terms: 7x + -9x = -2x -5 + -2x = -20 + 9x + -9x Combine like terms: 9x + -9x = 0 -5 + -2x = -20 + 0 -5 + -2x = -20 Add '5' to each side of the equation. -5 + 5 + -2x = -20 + 5 Combine like terms: -5 + 5 = 0 0 + -2x = -20 + 5 -2x = -20 + 5 Combine like terms: -20 + 5 = -15 -2x = -15 Divide each side by '-2'. x = 7.5 Simplifying x = 7.5
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