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Simplifying 3(x + -4) + 5 = 3 + (4x + 1) Reorder the terms: 3(-4 + x) + 5 = 3 + (4x + 1) (-4 * 3 + x * 3) + 5 = 3 + (4x + 1) (-12 + 3x) + 5 = 3 + (4x + 1) Reorder the terms: -12 + 5 + 3x = 3 + (4x + 1) Combine like terms: -12 + 5 = -7 -7 + 3x = 3 + (4x + 1) Reorder the terms: -7 + 3x = 3 + (1 + 4x) Remove parenthesis around (1 + 4x) -7 + 3x = 3 + 1 + 4x Combine like terms: 3 + 1 = 4 -7 + 3x = 4 + 4x Solving -7 + 3x = 4 + 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 = 4 + 4x + -4x Combine like terms: 3x + -4x = -1x -7 + -1x = 4 + 4x + -4x Combine like terms: 4x + -4x = 0 -7 + -1x = 4 + 0 -7 + -1x = 4 Add '7' to each side of the equation. -7 + 7 + -1x = 4 + 7 Combine like terms: -7 + 7 = 0 0 + -1x = 4 + 7 -1x = 4 + 7 Combine like terms: 4 + 7 = 11 -1x = 11 Divide each side by '-1'. x = -11 Simplifying x = -11
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