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Simplifying 2x + -3 = 6(4x + -7) Reorder the terms: -3 + 2x = 6(4x + -7) Reorder the terms: -3 + 2x = 6(-7 + 4x) -3 + 2x = (-7 * 6 + 4x * 6) -3 + 2x = (-42 + 24x) Solving -3 + 2x = -42 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -3 + 2x + -24x = -42 + 24x + -24x Combine like terms: 2x + -24x = -22x -3 + -22x = -42 + 24x + -24x Combine like terms: 24x + -24x = 0 -3 + -22x = -42 + 0 -3 + -22x = -42 Add '3' to each side of the equation. -3 + 3 + -22x = -42 + 3 Combine like terms: -3 + 3 = 0 0 + -22x = -42 + 3 -22x = -42 + 3 Combine like terms: -42 + 3 = -39 -22x = -39 Divide each side by '-22'. x = 1.772727273 Simplifying x = 1.772727273
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