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Simplifying 4(2x + -3) + -3(3x + -10) = 11 Reorder the terms: 4(-3 + 2x) + -3(3x + -10) = 11 (-3 * 4 + 2x * 4) + -3(3x + -10) = 11 (-12 + 8x) + -3(3x + -10) = 11 Reorder the terms: -12 + 8x + -3(-10 + 3x) = 11 -12 + 8x + (-10 * -3 + 3x * -3) = 11 -12 + 8x + (30 + -9x) = 11 Reorder the terms: -12 + 30 + 8x + -9x = 11 Combine like terms: -12 + 30 = 18 18 + 8x + -9x = 11 Combine like terms: 8x + -9x = -1x 18 + -1x = 11 Solving 18 + -1x = 11 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -1x = 11 + -18 Combine like terms: 18 + -18 = 0 0 + -1x = 11 + -18 -1x = 11 + -18 Combine like terms: 11 + -18 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7
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