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Simplifying 5x + -9 = 6(4x + -7) Reorder the terms: -9 + 5x = 6(4x + -7) Reorder the terms: -9 + 5x = 6(-7 + 4x) -9 + 5x = (-7 * 6 + 4x * 6) -9 + 5x = (-42 + 24x) Solving -9 + 5x = -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. -9 + 5x + -24x = -42 + 24x + -24x Combine like terms: 5x + -24x = -19x -9 + -19x = -42 + 24x + -24x Combine like terms: 24x + -24x = 0 -9 + -19x = -42 + 0 -9 + -19x = -42 Add '9' to each side of the equation. -9 + 9 + -19x = -42 + 9 Combine like terms: -9 + 9 = 0 0 + -19x = -42 + 9 -19x = -42 + 9 Combine like terms: -42 + 9 = -33 -19x = -33 Divide each side by '-19'. x = 1.736842105 Simplifying x = 1.736842105
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