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Simplifying 4(x + -12) + 20 = 3x + 30 Reorder the terms: 4(-12 + x) + 20 = 3x + 30 (-12 * 4 + x * 4) + 20 = 3x + 30 (-48 + 4x) + 20 = 3x + 30 Reorder the terms: -48 + 20 + 4x = 3x + 30 Combine like terms: -48 + 20 = -28 -28 + 4x = 3x + 30 Reorder the terms: -28 + 4x = 30 + 3x Solving -28 + 4x = 30 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -28 + 4x + -3x = 30 + 3x + -3x Combine like terms: 4x + -3x = 1x -28 + 1x = 30 + 3x + -3x Combine like terms: 3x + -3x = 0 -28 + 1x = 30 + 0 -28 + 1x = 30 Add '28' to each side of the equation. -28 + 28 + 1x = 30 + 28 Combine like terms: -28 + 28 = 0 0 + 1x = 30 + 28 1x = 30 + 28 Combine like terms: 30 + 28 = 58 1x = 58 Divide each side by '1'. x = 58 Simplifying x = 58
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