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Simplifying 3(x + -5) + 8 = 7.5 + -0.5(4x + -11) Reorder the terms: 3(-5 + x) + 8 = 7.5 + -0.5(4x + -11) (-5 * 3 + x * 3) + 8 = 7.5 + -0.5(4x + -11) (-15 + 3x) + 8 = 7.5 + -0.5(4x + -11) Reorder the terms: -15 + 8 + 3x = 7.5 + -0.5(4x + -11) Combine like terms: -15 + 8 = -7 -7 + 3x = 7.5 + -0.5(4x + -11) Reorder the terms: -7 + 3x = 7.5 + -0.5(-11 + 4x) -7 + 3x = 7.5 + (-11 * -0.5 + 4x * -0.5) -7 + 3x = 7.5 + (5.5 + -2x) Combine like terms: 7.5 + 5.5 = 13 -7 + 3x = 13 + -2x Solving -7 + 3x = 13 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -7 + 3x + 2x = 13 + -2x + 2x Combine like terms: 3x + 2x = 5x -7 + 5x = 13 + -2x + 2x Combine like terms: -2x + 2x = 0 -7 + 5x = 13 + 0 -7 + 5x = 13 Add '7' to each side of the equation. -7 + 7 + 5x = 13 + 7 Combine like terms: -7 + 7 = 0 0 + 5x = 13 + 7 5x = 13 + 7 Combine like terms: 13 + 7 = 20 5x = 20 Divide each side by '5'. x = 4 Simplifying x = 4
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