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Simplifying 7x + -40 = 4(7 + 6x) Reorder the terms: -40 + 7x = 4(7 + 6x) -40 + 7x = (7 * 4 + 6x * 4) -40 + 7x = (28 + 24x) Solving -40 + 7x = 28 + 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. -40 + 7x + -24x = 28 + 24x + -24x Combine like terms: 7x + -24x = -17x -40 + -17x = 28 + 24x + -24x Combine like terms: 24x + -24x = 0 -40 + -17x = 28 + 0 -40 + -17x = 28 Add '40' to each side of the equation. -40 + 40 + -17x = 28 + 40 Combine like terms: -40 + 40 = 0 0 + -17x = 28 + 40 -17x = 28 + 40 Combine like terms: 28 + 40 = 68 -17x = 68 Divide each side by '-17'. x = -4 Simplifying x = -4
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