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Simplifying 5x + -10 = 4(7 + 6x) Reorder the terms: -10 + 5x = 4(7 + 6x) -10 + 5x = (7 * 4 + 6x * 4) -10 + 5x = (28 + 24x) Solving -10 + 5x = 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. -10 + 5x + -24x = 28 + 24x + -24x Combine like terms: 5x + -24x = -19x -10 + -19x = 28 + 24x + -24x Combine like terms: 24x + -24x = 0 -10 + -19x = 28 + 0 -10 + -19x = 28 Add '10' to each side of the equation. -10 + 10 + -19x = 28 + 10 Combine like terms: -10 + 10 = 0 0 + -19x = 28 + 10 -19x = 28 + 10 Combine like terms: 28 + 10 = 38 -19x = 38 Divide each side by '-19'. x = -2 Simplifying x = -2
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