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Simplifying 6(x + -5) + -2(2x + 4) = 3(x + -10) Reorder the terms: 6(-5 + x) + -2(2x + 4) = 3(x + -10) (-5 * 6 + x * 6) + -2(2x + 4) = 3(x + -10) (-30 + 6x) + -2(2x + 4) = 3(x + -10) Reorder the terms: -30 + 6x + -2(4 + 2x) = 3(x + -10) -30 + 6x + (4 * -2 + 2x * -2) = 3(x + -10) -30 + 6x + (-8 + -4x) = 3(x + -10) Reorder the terms: -30 + -8 + 6x + -4x = 3(x + -10) Combine like terms: -30 + -8 = -38 -38 + 6x + -4x = 3(x + -10) Combine like terms: 6x + -4x = 2x -38 + 2x = 3(x + -10) Reorder the terms: -38 + 2x = 3(-10 + x) -38 + 2x = (-10 * 3 + x * 3) -38 + 2x = (-30 + 3x) Solving -38 + 2x = -30 + 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. -38 + 2x + -3x = -30 + 3x + -3x Combine like terms: 2x + -3x = -1x -38 + -1x = -30 + 3x + -3x Combine like terms: 3x + -3x = 0 -38 + -1x = -30 + 0 -38 + -1x = -30 Add '38' to each side of the equation. -38 + 38 + -1x = -30 + 38 Combine like terms: -38 + 38 = 0 0 + -1x = -30 + 38 -1x = -30 + 38 Combine like terms: -30 + 38 = 8 -1x = 8 Divide each side by '-1'. x = -8 Simplifying x = -8
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