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Simplifying 13(4x + -7) = 6x + 10 + 6x + -30 Reorder the terms: 13(-7 + 4x) = 6x + 10 + 6x + -30 (-7 * 13 + 4x * 13) = 6x + 10 + 6x + -30 (-91 + 52x) = 6x + 10 + 6x + -30 Reorder the terms: -91 + 52x = 10 + -30 + 6x + 6x Combine like terms: 10 + -30 = -20 -91 + 52x = -20 + 6x + 6x Combine like terms: 6x + 6x = 12x -91 + 52x = -20 + 12x Solving -91 + 52x = -20 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -91 + 52x + -12x = -20 + 12x + -12x Combine like terms: 52x + -12x = 40x -91 + 40x = -20 + 12x + -12x Combine like terms: 12x + -12x = 0 -91 + 40x = -20 + 0 -91 + 40x = -20 Add '91' to each side of the equation. -91 + 91 + 40x = -20 + 91 Combine like terms: -91 + 91 = 0 0 + 40x = -20 + 91 40x = -20 + 91 Combine like terms: -20 + 91 = 71 40x = 71 Divide each side by '40'. x = 1.775 Simplifying x = 1.775
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