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Simplifying 4(x + -3) = 4(x + -3) * 46 Reorder the terms: 4(-3 + x) = 4(x + -3) * 46 (-3 * 4 + x * 4) = 4(x + -3) * 46 (-12 + 4x) = 4(x + -3) * 46 Reorder the terms: -12 + 4x = 4(-3 + x) * 46 Reorder the terms for easier multiplication: -12 + 4x = 4 * 46(-3 + x) Multiply 4 * 46 -12 + 4x = 184(-3 + x) -12 + 4x = (-3 * 184 + x * 184) -12 + 4x = (-552 + 184x) Solving -12 + 4x = -552 + 184x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-184x' to each side of the equation. -12 + 4x + -184x = -552 + 184x + -184x Combine like terms: 4x + -184x = -180x -12 + -180x = -552 + 184x + -184x Combine like terms: 184x + -184x = 0 -12 + -180x = -552 + 0 -12 + -180x = -552 Add '12' to each side of the equation. -12 + 12 + -180x = -552 + 12 Combine like terms: -12 + 12 = 0 0 + -180x = -552 + 12 -180x = -552 + 12 Combine like terms: -552 + 12 = -540 -180x = -540 Divide each side by '-180'. x = 3 Simplifying x = 3
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