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Simplifying 4(x + -5) + 2 = 10x + -3(-1x + -6) Reorder the terms: 4(-5 + x) + 2 = 10x + -3(-1x + -6) (-5 * 4 + x * 4) + 2 = 10x + -3(-1x + -6) (-20 + 4x) + 2 = 10x + -3(-1x + -6) Reorder the terms: -20 + 2 + 4x = 10x + -3(-1x + -6) Combine like terms: -20 + 2 = -18 -18 + 4x = 10x + -3(-1x + -6) Reorder the terms: -18 + 4x = 10x + -3(-6 + -1x) -18 + 4x = 10x + (-6 * -3 + -1x * -3) -18 + 4x = 10x + (18 + 3x) Reorder the terms: -18 + 4x = 18 + 10x + 3x Combine like terms: 10x + 3x = 13x -18 + 4x = 18 + 13x Solving -18 + 4x = 18 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. -18 + 4x + -13x = 18 + 13x + -13x Combine like terms: 4x + -13x = -9x -18 + -9x = 18 + 13x + -13x Combine like terms: 13x + -13x = 0 -18 + -9x = 18 + 0 -18 + -9x = 18 Add '18' to each side of the equation. -18 + 18 + -9x = 18 + 18 Combine like terms: -18 + 18 = 0 0 + -9x = 18 + 18 -9x = 18 + 18 Combine like terms: 18 + 18 = 36 -9x = 36 Divide each side by '-9'. x = -4 Simplifying x = -4
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