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Simplifying 7 + -2x = 6(x + -5) Reorder the terms: 7 + -2x = 6(-5 + x) 7 + -2x = (-5 * 6 + x * 6) 7 + -2x = (-30 + 6x) Solving 7 + -2x = -30 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 7 + -2x + -6x = -30 + 6x + -6x Combine like terms: -2x + -6x = -8x 7 + -8x = -30 + 6x + -6x Combine like terms: 6x + -6x = 0 7 + -8x = -30 + 0 7 + -8x = -30 Add '-7' to each side of the equation. 7 + -7 + -8x = -30 + -7 Combine like terms: 7 + -7 = 0 0 + -8x = -30 + -7 -8x = -30 + -7 Combine like terms: -30 + -7 = -37 -8x = -37 Divide each side by '-8'. x = 4.625 Simplifying x = 4.625
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