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Simplifying 3x + -6 * 3.5x + 7 = -5(-1x + -6) Multiply -6 * 3.5 3x + -21x + 7 = -5(-1x + -6) Reorder the terms: 7 + 3x + -21x = -5(-1x + -6) Combine like terms: 3x + -21x = -18x 7 + -18x = -5(-1x + -6) Reorder the terms: 7 + -18x = -5(-6 + -1x) 7 + -18x = (-6 * -5 + -1x * -5) 7 + -18x = (30 + 5x) Solving 7 + -18x = 30 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 7 + -18x + -5x = 30 + 5x + -5x Combine like terms: -18x + -5x = -23x 7 + -23x = 30 + 5x + -5x Combine like terms: 5x + -5x = 0 7 + -23x = 30 + 0 7 + -23x = 30 Add '-7' to each side of the equation. 7 + -7 + -23x = 30 + -7 Combine like terms: 7 + -7 = 0 0 + -23x = 30 + -7 -23x = 30 + -7 Combine like terms: 30 + -7 = 23 -23x = 23 Divide each side by '-23'. x = -1 Simplifying x = -1
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