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Simplifying 3x + 3 = x + 1 + 3(x + -4) Reorder the terms: 3 + 3x = x + 1 + 3(x + -4) Reorder the terms: 3 + 3x = x + 1 + 3(-4 + x) 3 + 3x = x + 1 + (-4 * 3 + x * 3) 3 + 3x = x + 1 + (-12 + 3x) Reorder the terms: 3 + 3x = 1 + -12 + x + 3x Combine like terms: 1 + -12 = -11 3 + 3x = -11 + x + 3x Combine like terms: x + 3x = 4x 3 + 3x = -11 + 4x Solving 3 + 3x = -11 + 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. 3 + 3x + -4x = -11 + 4x + -4x Combine like terms: 3x + -4x = -1x 3 + -1x = -11 + 4x + -4x Combine like terms: 4x + -4x = 0 3 + -1x = -11 + 0 3 + -1x = -11 Add '-3' to each side of the equation. 3 + -3 + -1x = -11 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = -11 + -3 -1x = -11 + -3 Combine like terms: -11 + -3 = -14 -1x = -14 Divide each side by '-1'. x = 14 Simplifying x = 14
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