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Simplifying 4(2x + -10) + -2 = 4(x + -9) + (2) Reorder the terms: 4(-10 + 2x) + -2 = 4(x + -9) + (2) (-10 * 4 + 2x * 4) + -2 = 4(x + -9) + (2) (-40 + 8x) + -2 = 4(x + -9) + (2) Reorder the terms: -40 + -2 + 8x = 4(x + -9) + (2) Combine like terms: -40 + -2 = -42 -42 + 8x = 4(x + -9) + (2) Reorder the terms: -42 + 8x = 4(-9 + x) + (2) -42 + 8x = (-9 * 4 + x * 4) + (2) -42 + 8x = (-36 + 4x) + (2) -42 + 8x = -36 + 4x + 2 Reorder the terms: -42 + 8x = -36 + 2 + 4x Combine like terms: -36 + 2 = -34 -42 + 8x = -34 + 4x Solving -42 + 8x = -34 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -42 + 8x + -4x = -34 + 4x + -4x Combine like terms: 8x + -4x = 4x -42 + 4x = -34 + 4x + -4x Combine like terms: 4x + -4x = 0 -42 + 4x = -34 + 0 -42 + 4x = -34 Add '42' to each side of the equation. -42 + 42 + 4x = -34 + 42 Combine like terms: -42 + 42 = 0 0 + 4x = -34 + 42 4x = -34 + 42 Combine like terms: -34 + 42 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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