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Simplifying 6(x + -8) = 0.5 * 7(x + -3) Reorder the terms: 6(-8 + x) = 0.5 * 7(x + -3) (-8 * 6 + x * 6) = 0.5 * 7(x + -3) (-48 + 6x) = 0.5 * 7(x + -3) Reorder the terms: -48 + 6x = 0.5 * 7(-3 + x) Multiply 0.5 * 7 -48 + 6x = 3.5(-3 + x) -48 + 6x = (-3 * 3.5 + x * 3.5) -48 + 6x = (-10.5 + 3.5x) Solving -48 + 6x = -10.5 + 3.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.5x' to each side of the equation. -48 + 6x + -3.5x = -10.5 + 3.5x + -3.5x Combine like terms: 6x + -3.5x = 2.5x -48 + 2.5x = -10.5 + 3.5x + -3.5x Combine like terms: 3.5x + -3.5x = 0.0 -48 + 2.5x = -10.5 + 0.0 -48 + 2.5x = -10.5 Add '48' to each side of the equation. -48 + 48 + 2.5x = -10.5 + 48 Combine like terms: -48 + 48 = 0 0 + 2.5x = -10.5 + 48 2.5x = -10.5 + 48 Combine like terms: -10.5 + 48 = 37.5 2.5x = 37.5 Divide each side by '2.5'. x = 15 Simplifying x = 15
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