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Simplifying 2(x + -7) + -34 = 4x + -11x + 4(x + -1) Reorder the terms: 2(-7 + x) + -34 = 4x + -11x + 4(x + -1) (-7 * 2 + x * 2) + -34 = 4x + -11x + 4(x + -1) (-14 + 2x) + -34 = 4x + -11x + 4(x + -1) Reorder the terms: -14 + -34 + 2x = 4x + -11x + 4(x + -1) Combine like terms: -14 + -34 = -48 -48 + 2x = 4x + -11x + 4(x + -1) Reorder the terms: -48 + 2x = 4x + -11x + 4(-1 + x) -48 + 2x = 4x + -11x + (-1 * 4 + x * 4) -48 + 2x = 4x + -11x + (-4 + 4x) Reorder the terms: -48 + 2x = -4 + 4x + -11x + 4x Combine like terms: 4x + -11x = -7x -48 + 2x = -4 + -7x + 4x Combine like terms: -7x + 4x = -3x -48 + 2x = -4 + -3x Solving -48 + 2x = -4 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -48 + 2x + 3x = -4 + -3x + 3x Combine like terms: 2x + 3x = 5x -48 + 5x = -4 + -3x + 3x Combine like terms: -3x + 3x = 0 -48 + 5x = -4 + 0 -48 + 5x = -4 Add '48' to each side of the equation. -48 + 48 + 5x = -4 + 48 Combine like terms: -48 + 48 = 0 0 + 5x = -4 + 48 5x = -4 + 48 Combine like terms: -4 + 48 = 44 5x = 44 Divide each side by '5'. x = 8.8 Simplifying x = 8.8
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