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Simplifying 4(x + -3) + 2 = 4x + -2(2 + -1x) Reorder the terms: 4(-3 + x) + 2 = 4x + -2(2 + -1x) (-3 * 4 + x * 4) + 2 = 4x + -2(2 + -1x) (-12 + 4x) + 2 = 4x + -2(2 + -1x) Reorder the terms: -12 + 2 + 4x = 4x + -2(2 + -1x) Combine like terms: -12 + 2 = -10 -10 + 4x = 4x + -2(2 + -1x) -10 + 4x = 4x + (2 * -2 + -1x * -2) -10 + 4x = 4x + (-4 + 2x) Reorder the terms: -10 + 4x = -4 + 4x + 2x Combine like terms: 4x + 2x = 6x -10 + 4x = -4 + 6x Solving -10 + 4x = -4 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -10 + 4x + -6x = -4 + 6x + -6x Combine like terms: 4x + -6x = -2x -10 + -2x = -4 + 6x + -6x Combine like terms: 6x + -6x = 0 -10 + -2x = -4 + 0 -10 + -2x = -4 Add '10' to each side of the equation. -10 + 10 + -2x = -4 + 10 Combine like terms: -10 + 10 = 0 0 + -2x = -4 + 10 -2x = -4 + 10 Combine like terms: -4 + 10 = 6 -2x = 6 Divide each side by '-2'. x = -3 Simplifying x = -3
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