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Simplifying 10(-1x + 3) + 9x + 4 = x + -5 + 3 Reorder the terms: 10(3 + -1x) + 9x + 4 = x + -5 + 3 (3 * 10 + -1x * 10) + 9x + 4 = x + -5 + 3 (30 + -10x) + 9x + 4 = x + -5 + 3 Reorder the terms: 30 + 4 + -10x + 9x = x + -5 + 3 Combine like terms: 30 + 4 = 34 34 + -10x + 9x = x + -5 + 3 Combine like terms: -10x + 9x = -1x 34 + -1x = x + -5 + 3 Reorder the terms: 34 + -1x = -5 + 3 + x Combine like terms: -5 + 3 = -2 34 + -1x = -2 + x Solving 34 + -1x = -2 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 34 + -1x + -1x = -2 + x + -1x Combine like terms: -1x + -1x = -2x 34 + -2x = -2 + x + -1x Combine like terms: x + -1x = 0 34 + -2x = -2 + 0 34 + -2x = -2 Add '-34' to each side of the equation. 34 + -34 + -2x = -2 + -34 Combine like terms: 34 + -34 = 0 0 + -2x = -2 + -34 -2x = -2 + -34 Combine like terms: -2 + -34 = -36 -2x = -36 Divide each side by '-2'. x = 18 Simplifying x = 18
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