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Simplifying 6x + -9 + 10x = 6(4x + -3) + 5 Reorder the terms: -9 + 6x + 10x = 6(4x + -3) + 5 Combine like terms: 6x + 10x = 16x -9 + 16x = 6(4x + -3) + 5 Reorder the terms: -9 + 16x = 6(-3 + 4x) + 5 -9 + 16x = (-3 * 6 + 4x * 6) + 5 -9 + 16x = (-18 + 24x) + 5 Reorder the terms: -9 + 16x = -18 + 5 + 24x Combine like terms: -18 + 5 = -13 -9 + 16x = -13 + 24x Solving -9 + 16x = -13 + 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 + 16x + -24x = -13 + 24x + -24x Combine like terms: 16x + -24x = -8x -9 + -8x = -13 + 24x + -24x Combine like terms: 24x + -24x = 0 -9 + -8x = -13 + 0 -9 + -8x = -13 Add '9' to each side of the equation. -9 + 9 + -8x = -13 + 9 Combine like terms: -9 + 9 = 0 0 + -8x = -13 + 9 -8x = -13 + 9 Combine like terms: -13 + 9 = -4 -8x = -4 Divide each side by '-8'. x = 0.5 Simplifying x = 0.5
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