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Simplifying 10(4 + 6x) + -10(-3x + -5) = -9x + 7 + -9 + 7x (4 * 10 + 6x * 10) + -10(-3x + -5) = -9x + 7 + -9 + 7x (40 + 60x) + -10(-3x + -5) = -9x + 7 + -9 + 7x Reorder the terms: 40 + 60x + -10(-5 + -3x) = -9x + 7 + -9 + 7x 40 + 60x + (-5 * -10 + -3x * -10) = -9x + 7 + -9 + 7x 40 + 60x + (50 + 30x) = -9x + 7 + -9 + 7x Reorder the terms: 40 + 50 + 60x + 30x = -9x + 7 + -9 + 7x Combine like terms: 40 + 50 = 90 90 + 60x + 30x = -9x + 7 + -9 + 7x Combine like terms: 60x + 30x = 90x 90 + 90x = -9x + 7 + -9 + 7x Reorder the terms: 90 + 90x = 7 + -9 + -9x + 7x Combine like terms: 7 + -9 = -2 90 + 90x = -2 + -9x + 7x Combine like terms: -9x + 7x = -2x 90 + 90x = -2 + -2x Solving 90 + 90x = -2 + -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. 90 + 90x + 2x = -2 + -2x + 2x Combine like terms: 90x + 2x = 92x 90 + 92x = -2 + -2x + 2x Combine like terms: -2x + 2x = 0 90 + 92x = -2 + 0 90 + 92x = -2 Add '-90' to each side of the equation. 90 + -90 + 92x = -2 + -90 Combine like terms: 90 + -90 = 0 0 + 92x = -2 + -90 92x = -2 + -90 Combine like terms: -2 + -90 = -92 92x = -92 Divide each side by '92'. x = -1 Simplifying x = -1
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