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Simplifying 4(x + -3) + -7 = 2x + -31 Reorder the terms: 4(-3 + x) + -7 = 2x + -31 (-3 * 4 + x * 4) + -7 = 2x + -31 (-12 + 4x) + -7 = 2x + -31 Reorder the terms: -12 + -7 + 4x = 2x + -31 Combine like terms: -12 + -7 = -19 -19 + 4x = 2x + -31 Reorder the terms: -19 + 4x = -31 + 2x Solving -19 + 4x = -31 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -19 + 4x + -2x = -31 + 2x + -2x Combine like terms: 4x + -2x = 2x -19 + 2x = -31 + 2x + -2x Combine like terms: 2x + -2x = 0 -19 + 2x = -31 + 0 -19 + 2x = -31 Add '19' to each side of the equation. -19 + 19 + 2x = -31 + 19 Combine like terms: -19 + 19 = 0 0 + 2x = -31 + 19 2x = -31 + 19 Combine like terms: -31 + 19 = -12 2x = -12 Divide each side by '2'. x = -6 Simplifying x = -6
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