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Simplifying 2x + 6 = 4(x + -3) + -2(5 + -6x) Reorder the terms: 6 + 2x = 4(x + -3) + -2(5 + -6x) Reorder the terms: 6 + 2x = 4(-3 + x) + -2(5 + -6x) 6 + 2x = (-3 * 4 + x * 4) + -2(5 + -6x) 6 + 2x = (-12 + 4x) + -2(5 + -6x) 6 + 2x = -12 + 4x + (5 * -2 + -6x * -2) 6 + 2x = -12 + 4x + (-10 + 12x) Reorder the terms: 6 + 2x = -12 + -10 + 4x + 12x Combine like terms: -12 + -10 = -22 6 + 2x = -22 + 4x + 12x Combine like terms: 4x + 12x = 16x 6 + 2x = -22 + 16x Solving 6 + 2x = -22 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 6 + 2x + -16x = -22 + 16x + -16x Combine like terms: 2x + -16x = -14x 6 + -14x = -22 + 16x + -16x Combine like terms: 16x + -16x = 0 6 + -14x = -22 + 0 6 + -14x = -22 Add '-6' to each side of the equation. 6 + -6 + -14x = -22 + -6 Combine like terms: 6 + -6 = 0 0 + -14x = -22 + -6 -14x = -22 + -6 Combine like terms: -22 + -6 = -28 -14x = -28 Divide each side by '-14'. x = 2 Simplifying x = 2
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