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Simplifying 5x + -6(3x + -8) = 7x + -47 Reorder the terms: 5x + -6(-8 + 3x) = 7x + -47 5x + (-8 * -6 + 3x * -6) = 7x + -47 5x + (48 + -18x) = 7x + -47 Reorder the terms: 48 + 5x + -18x = 7x + -47 Combine like terms: 5x + -18x = -13x 48 + -13x = 7x + -47 Reorder the terms: 48 + -13x = -47 + 7x Solving 48 + -13x = -47 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 48 + -13x + -7x = -47 + 7x + -7x Combine like terms: -13x + -7x = -20x 48 + -20x = -47 + 7x + -7x Combine like terms: 7x + -7x = 0 48 + -20x = -47 + 0 48 + -20x = -47 Add '-48' to each side of the equation. 48 + -48 + -20x = -47 + -48 Combine like terms: 48 + -48 = 0 0 + -20x = -47 + -48 -20x = -47 + -48 Combine like terms: -47 + -48 = -95 -20x = -95 Divide each side by '-20'. x = 4.75 Simplifying x = 4.75
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