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Simplifying 3(x + -4) + 1 = 4(x + 1) Reorder the terms: 3(-4 + x) + 1 = 4(x + 1) (-4 * 3 + x * 3) + 1 = 4(x + 1) (-12 + 3x) + 1 = 4(x + 1) Reorder the terms: -12 + 1 + 3x = 4(x + 1) Combine like terms: -12 + 1 = -11 -11 + 3x = 4(x + 1) Reorder the terms: -11 + 3x = 4(1 + x) -11 + 3x = (1 * 4 + x * 4) -11 + 3x = (4 + 4x) Solving -11 + 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. -11 + 3x + -4x = 4 + 4x + -4x Combine like terms: 3x + -4x = -1x -11 + -1x = 4 + 4x + -4x Combine like terms: 4x + -4x = 0 -11 + -1x = 4 + 0 -11 + -1x = 4 Add '11' to each side of the equation. -11 + 11 + -1x = 4 + 11 Combine like terms: -11 + 11 = 0 0 + -1x = 4 + 11 -1x = 4 + 11 Combine like terms: 4 + 11 = 15 -1x = 15 Divide each side by '-1'. x = -15 Simplifying x = -15
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