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Simplifying 4x + -30 = -1[3](1[x + -4] * 1) Reorder the terms: -30 + 4x = -1[3](1[x + -4] * 1) Reorder the terms: -30 + 4x = -1 * 3(1[-4 + x] * 1) Reorder the terms for easier multiplication: -30 + 4x = -1 * 3(1 * 1[-4 + x]) Multiply 1 * 1 -30 + 4x = -1 * 3(1[-4 + x]) -30 + 4x = -1 * 3([-4 * 1 + x * 1]) -30 + 4x = -1 * 3([-4 + 1x]) Multiply -1 * 3 -30 + 4x = -3(-4 + 1x) -30 + 4x = (-4 * -3 + 1x * -3) -30 + 4x = (12 + -3x) Solving -30 + 4x = 12 + -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. -30 + 4x + 3x = 12 + -3x + 3x Combine like terms: 4x + 3x = 7x -30 + 7x = 12 + -3x + 3x Combine like terms: -3x + 3x = 0 -30 + 7x = 12 + 0 -30 + 7x = 12 Add '30' to each side of the equation. -30 + 30 + 7x = 12 + 30 Combine like terms: -30 + 30 = 0 0 + 7x = 12 + 30 7x = 12 + 30 Combine like terms: 12 + 30 = 42 7x = 42 Divide each side by '7'. x = 6 Simplifying x = 6
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