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Simplifying 5 + -3(x + 4) = -8x + 4(x + 3) Reorder the terms: 5 + -3(4 + x) = -8x + 4(x + 3) 5 + (4 * -3 + x * -3) = -8x + 4(x + 3) 5 + (-12 + -3x) = -8x + 4(x + 3) Combine like terms: 5 + -12 = -7 -7 + -3x = -8x + 4(x + 3) Reorder the terms: -7 + -3x = -8x + 4(3 + x) -7 + -3x = -8x + (3 * 4 + x * 4) -7 + -3x = -8x + (12 + 4x) Reorder the terms: -7 + -3x = 12 + -8x + 4x Combine like terms: -8x + 4x = -4x -7 + -3x = 12 + -4x Solving -7 + -3x = 12 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -7 + -3x + 4x = 12 + -4x + 4x Combine like terms: -3x + 4x = 1x -7 + 1x = 12 + -4x + 4x Combine like terms: -4x + 4x = 0 -7 + 1x = 12 + 0 -7 + 1x = 12 Add '7' to each side of the equation. -7 + 7 + 1x = 12 + 7 Combine like terms: -7 + 7 = 0 0 + 1x = 12 + 7 1x = 12 + 7 Combine like terms: 12 + 7 = 19 1x = 19 Divide each side by '1'. x = 19 Simplifying x = 19
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