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Simplifying 3[2(x + -1) + -5] = 4(x + -4) + 1 Reorder the terms: 3[2(-1 + x) + -5] = 4(x + -4) + 1 3[(-1 * 2 + x * 2) + -5] = 4(x + -4) + 1 3[(-2 + 2x) + -5] = 4(x + -4) + 1 Reorder the terms: 3[-2 + -5 + 2x] = 4(x + -4) + 1 Combine like terms: -2 + -5 = -7 3[-7 + 2x] = 4(x + -4) + 1 [-7 * 3 + 2x * 3] = 4(x + -4) + 1 [-21 + 6x] = 4(x + -4) + 1 Reorder the terms: -21 + 6x = 4(-4 + x) + 1 -21 + 6x = (-4 * 4 + x * 4) + 1 -21 + 6x = (-16 + 4x) + 1 Reorder the terms: -21 + 6x = -16 + 1 + 4x Combine like terms: -16 + 1 = -15 -21 + 6x = -15 + 4x Solving -21 + 6x = -15 + 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. -21 + 6x + -4x = -15 + 4x + -4x Combine like terms: 6x + -4x = 2x -21 + 2x = -15 + 4x + -4x Combine like terms: 4x + -4x = 0 -21 + 2x = -15 + 0 -21 + 2x = -15 Add '21' to each side of the equation. -21 + 21 + 2x = -15 + 21 Combine like terms: -21 + 21 = 0 0 + 2x = -15 + 21 2x = -15 + 21 Combine like terms: -15 + 21 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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