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Simplifying -8(x + 1) + 4(3x + -7) = 3(x + -4) + 10 Reorder the terms: -8(1 + x) + 4(3x + -7) = 3(x + -4) + 10 (1 * -8 + x * -8) + 4(3x + -7) = 3(x + -4) + 10 (-8 + -8x) + 4(3x + -7) = 3(x + -4) + 10 Reorder the terms: -8 + -8x + 4(-7 + 3x) = 3(x + -4) + 10 -8 + -8x + (-7 * 4 + 3x * 4) = 3(x + -4) + 10 -8 + -8x + (-28 + 12x) = 3(x + -4) + 10 Reorder the terms: -8 + -28 + -8x + 12x = 3(x + -4) + 10 Combine like terms: -8 + -28 = -36 -36 + -8x + 12x = 3(x + -4) + 10 Combine like terms: -8x + 12x = 4x -36 + 4x = 3(x + -4) + 10 Reorder the terms: -36 + 4x = 3(-4 + x) + 10 -36 + 4x = (-4 * 3 + x * 3) + 10 -36 + 4x = (-12 + 3x) + 10 Reorder the terms: -36 + 4x = -12 + 10 + 3x Combine like terms: -12 + 10 = -2 -36 + 4x = -2 + 3x Solving -36 + 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. -36 + 4x + -3x = -2 + 3x + -3x Combine like terms: 4x + -3x = 1x -36 + 1x = -2 + 3x + -3x Combine like terms: 3x + -3x = 0 -36 + 1x = -2 + 0 -36 + 1x = -2 Add '36' to each side of the equation. -36 + 36 + 1x = -2 + 36 Combine like terms: -36 + 36 = 0 0 + 1x = -2 + 36 1x = -2 + 36 Combine like terms: -2 + 36 = 34 1x = 34 Divide each side by '1'. x = 34 Simplifying x = 34
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