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Simplifying 9.5(x + -6) + 1 = 2(x + -10) + -3 Reorder the terms: 9.5(-6 + x) + 1 = 2(x + -10) + -3 (-6 * 9.5 + x * 9.5) + 1 = 2(x + -10) + -3 (-57 + 9.5x) + 1 = 2(x + -10) + -3 Reorder the terms: -57 + 1 + 9.5x = 2(x + -10) + -3 Combine like terms: -57 + 1 = -56 -56 + 9.5x = 2(x + -10) + -3 Reorder the terms: -56 + 9.5x = 2(-10 + x) + -3 -56 + 9.5x = (-10 * 2 + x * 2) + -3 -56 + 9.5x = (-20 + 2x) + -3 Reorder the terms: -56 + 9.5x = -20 + -3 + 2x Combine like terms: -20 + -3 = -23 -56 + 9.5x = -23 + 2x Solving -56 + 9.5x = -23 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -56 + 9.5x + -2x = -23 + 2x + -2x Combine like terms: 9.5x + -2x = 7.5x -56 + 7.5x = -23 + 2x + -2x Combine like terms: 2x + -2x = 0 -56 + 7.5x = -23 + 0 -56 + 7.5x = -23 Add '56' to each side of the equation. -56 + 56 + 7.5x = -23 + 56 Combine like terms: -56 + 56 = 0 0 + 7.5x = -23 + 56 7.5x = -23 + 56 Combine like terms: -23 + 56 = 33 7.5x = 33 Divide each side by '7.5'. x = 4.4 Simplifying x = 4.4
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