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Simplifying 5x + -4(x + -6) + 5 = 2x + 10 Reorder the terms: 5x + -4(-6 + x) + 5 = 2x + 10 5x + (-6 * -4 + x * -4) + 5 = 2x + 10 5x + (24 + -4x) + 5 = 2x + 10 Reorder the terms: 24 + 5 + 5x + -4x = 2x + 10 Combine like terms: 24 + 5 = 29 29 + 5x + -4x = 2x + 10 Combine like terms: 5x + -4x = 1x 29 + 1x = 2x + 10 Reorder the terms: 29 + 1x = 10 + 2x Solving 29 + 1x = 10 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 29 + 1x + -2x = 10 + 2x + -2x Combine like terms: 1x + -2x = -1x 29 + -1x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 29 + -1x = 10 + 0 29 + -1x = 10 Add '-29' to each side of the equation. 29 + -29 + -1x = 10 + -29 Combine like terms: 29 + -29 = 0 0 + -1x = 10 + -29 -1x = 10 + -29 Combine like terms: 10 + -29 = -19 -1x = -19 Divide each side by '-1'. x = 19 Simplifying x = 19
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