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Simplifying -14(x + 3) + 6(3x + -4) = 3(x + -4) + 10 Reorder the terms: -14(3 + x) + 6(3x + -4) = 3(x + -4) + 10 (3 * -14 + x * -14) + 6(3x + -4) = 3(x + -4) + 10 (-42 + -14x) + 6(3x + -4) = 3(x + -4) + 10 Reorder the terms: -42 + -14x + 6(-4 + 3x) = 3(x + -4) + 10 -42 + -14x + (-4 * 6 + 3x * 6) = 3(x + -4) + 10 -42 + -14x + (-24 + 18x) = 3(x + -4) + 10 Reorder the terms: -42 + -24 + -14x + 18x = 3(x + -4) + 10 Combine like terms: -42 + -24 = -66 -66 + -14x + 18x = 3(x + -4) + 10 Combine like terms: -14x + 18x = 4x -66 + 4x = 3(x + -4) + 10 Reorder the terms: -66 + 4x = 3(-4 + x) + 10 -66 + 4x = (-4 * 3 + x * 3) + 10 -66 + 4x = (-12 + 3x) + 10 Reorder the terms: -66 + 4x = -12 + 10 + 3x Combine like terms: -12 + 10 = -2 -66 + 4x = -2 + 3x Solving -66 + 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. -66 + 4x + -3x = -2 + 3x + -3x Combine like terms: 4x + -3x = 1x -66 + 1x = -2 + 3x + -3x Combine like terms: 3x + -3x = 0 -66 + 1x = -2 + 0 -66 + 1x = -2 Add '66' to each side of the equation. -66 + 66 + 1x = -2 + 66 Combine like terms: -66 + 66 = 0 0 + 1x = -2 + 66 1x = -2 + 66 Combine like terms: -2 + 66 = 64 1x = 64 Divide each side by '1'. x = 64 Simplifying x = 64
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