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Simplifying 4(x + 5) + 3 = 10x + 4(x + 3) Reorder the terms: 4(5 + x) + 3 = 10x + 4(x + 3) (5 * 4 + x * 4) + 3 = 10x + 4(x + 3) (20 + 4x) + 3 = 10x + 4(x + 3) Reorder the terms: 20 + 3 + 4x = 10x + 4(x + 3) Combine like terms: 20 + 3 = 23 23 + 4x = 10x + 4(x + 3) Reorder the terms: 23 + 4x = 10x + 4(3 + x) 23 + 4x = 10x + (3 * 4 + x * 4) 23 + 4x = 10x + (12 + 4x) Reorder the terms: 23 + 4x = 12 + 10x + 4x Combine like terms: 10x + 4x = 14x 23 + 4x = 12 + 14x Solving 23 + 4x = 12 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 23 + 4x + -14x = 12 + 14x + -14x Combine like terms: 4x + -14x = -10x 23 + -10x = 12 + 14x + -14x Combine like terms: 14x + -14x = 0 23 + -10x = 12 + 0 23 + -10x = 12 Add '-23' to each side of the equation. 23 + -23 + -10x = 12 + -23 Combine like terms: 23 + -23 = 0 0 + -10x = 12 + -23 -10x = 12 + -23 Combine like terms: 12 + -23 = -11 -10x = -11 Divide each side by '-10'. x = 1.1 Simplifying x = 1.1
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