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Simplifying 3(x + -1) + -1(4x + 2) = 3[(2x + -1) + -2(x + 3)] Reorder the terms: 3(-1 + x) + -1(4x + 2) = 3[(2x + -1) + -2(x + 3)] (-1 * 3 + x * 3) + -1(4x + 2) = 3[(2x + -1) + -2(x + 3)] (-3 + 3x) + -1(4x + 2) = 3[(2x + -1) + -2(x + 3)] Reorder the terms: -3 + 3x + -1(2 + 4x) = 3[(2x + -1) + -2(x + 3)] -3 + 3x + (2 * -1 + 4x * -1) = 3[(2x + -1) + -2(x + 3)] -3 + 3x + (-2 + -4x) = 3[(2x + -1) + -2(x + 3)] Reorder the terms: -3 + -2 + 3x + -4x = 3[(2x + -1) + -2(x + 3)] Combine like terms: -3 + -2 = -5 -5 + 3x + -4x = 3[(2x + -1) + -2(x + 3)] Combine like terms: 3x + -4x = -1x -5 + -1x = 3[(2x + -1) + -2(x + 3)] Reorder the terms: -5 + -1x = 3[(-1 + 2x) + -2(x + 3)] Remove parenthesis around (-1 + 2x) -5 + -1x = 3[-1 + 2x + -2(x + 3)] Reorder the terms: -5 + -1x = 3[-1 + 2x + -2(3 + x)] -5 + -1x = 3[-1 + 2x + (3 * -2 + x * -2)] -5 + -1x = 3[-1 + 2x + (-6 + -2x)] Reorder the terms: -5 + -1x = 3[-1 + -6 + 2x + -2x] Combine like terms: -1 + -6 = -7 -5 + -1x = 3[-7 + 2x + -2x] Combine like terms: 2x + -2x = 0 -5 + -1x = 3[-7 + 0] -5 + -1x = 3[-7] Multiply 3 * -7 -5 + -1x = -21 Solving -5 + -1x = -21 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -1x = -21 + 5 Combine like terms: -5 + 5 = 0 0 + -1x = -21 + 5 -1x = -21 + 5 Combine like terms: -21 + 5 = -16 -1x = -16 Divide each side by '-1'. x = 16 Simplifying x = 16
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