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Simplifying 47 + -6(x + -3) = 7x Reorder the terms: 47 + -6(-3 + x) = 7x 47 + (-3 * -6 + x * -6) = 7x 47 + (18 + -6x) = 7x Combine like terms: 47 + 18 = 65 65 + -6x = 7x Solving 65 + -6x = 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. 65 + -6x + -7x = 7x + -7x Combine like terms: -6x + -7x = -13x 65 + -13x = 7x + -7x Combine like terms: 7x + -7x = 0 65 + -13x = 0 Add '-65' to each side of the equation. 65 + -65 + -13x = 0 + -65 Combine like terms: 65 + -65 = 0 0 + -13x = 0 + -65 -13x = 0 + -65 Combine like terms: 0 + -65 = -65 -13x = -65 Divide each side by '-13'. x = 5 Simplifying x = 5
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