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Simplifying 4(5x + -3) + -3(3x + -10) = 10x + 5 Reorder the terms: 4(-3 + 5x) + -3(3x + -10) = 10x + 5 (-3 * 4 + 5x * 4) + -3(3x + -10) = 10x + 5 (-12 + 20x) + -3(3x + -10) = 10x + 5 Reorder the terms: -12 + 20x + -3(-10 + 3x) = 10x + 5 -12 + 20x + (-10 * -3 + 3x * -3) = 10x + 5 -12 + 20x + (30 + -9x) = 10x + 5 Reorder the terms: -12 + 30 + 20x + -9x = 10x + 5 Combine like terms: -12 + 30 = 18 18 + 20x + -9x = 10x + 5 Combine like terms: 20x + -9x = 11x 18 + 11x = 10x + 5 Reorder the terms: 18 + 11x = 5 + 10x Solving 18 + 11x = 5 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 18 + 11x + -10x = 5 + 10x + -10x Combine like terms: 11x + -10x = 1x 18 + 1x = 5 + 10x + -10x Combine like terms: 10x + -10x = 0 18 + 1x = 5 + 0 18 + 1x = 5 Add '-18' to each side of the equation. 18 + -18 + 1x = 5 + -18 Combine like terms: 18 + -18 = 0 0 + 1x = 5 + -18 1x = 5 + -18 Combine like terms: 5 + -18 = -13 1x = -13 Divide each side by '1'. x = -13 Simplifying x = -13
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