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Simplifying -2(x + 6) + 3(2x + -3) = 3(x + -4) + 10 Reorder the terms: -2(6 + x) + 3(2x + -3) = 3(x + -4) + 10 (6 * -2 + x * -2) + 3(2x + -3) = 3(x + -4) + 10 (-12 + -2x) + 3(2x + -3) = 3(x + -4) + 10 Reorder the terms: -12 + -2x + 3(-3 + 2x) = 3(x + -4) + 10 -12 + -2x + (-3 * 3 + 2x * 3) = 3(x + -4) + 10 -12 + -2x + (-9 + 6x) = 3(x + -4) + 10 Reorder the terms: -12 + -9 + -2x + 6x = 3(x + -4) + 10 Combine like terms: -12 + -9 = -21 -21 + -2x + 6x = 3(x + -4) + 10 Combine like terms: -2x + 6x = 4x -21 + 4x = 3(x + -4) + 10 Reorder the terms: -21 + 4x = 3(-4 + x) + 10 -21 + 4x = (-4 * 3 + x * 3) + 10 -21 + 4x = (-12 + 3x) + 10 Reorder the terms: -21 + 4x = -12 + 10 + 3x Combine like terms: -12 + 10 = -2 -21 + 4x = -2 + 3x Solving -21 + 4x = -2 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -21 + 4x + -3x = -2 + 3x + -3x Combine like terms: 4x + -3x = 1x -21 + 1x = -2 + 3x + -3x Combine like terms: 3x + -3x = 0 -21 + 1x = -2 + 0 -21 + 1x = -2 Add '21' to each side of the equation. -21 + 21 + 1x = -2 + 21 Combine like terms: -21 + 21 = 0 0 + 1x = -2 + 21 1x = -2 + 21 Combine like terms: -2 + 21 = 19 1x = 19 Divide each side by '1'. x = 19 Simplifying x = 19
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