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Simplifying 10(x + 4) + -3 = 14x + 1 Reorder the terms: 10(4 + x) + -3 = 14x + 1 (4 * 10 + x * 10) + -3 = 14x + 1 (40 + 10x) + -3 = 14x + 1 Reorder the terms: 40 + -3 + 10x = 14x + 1 Combine like terms: 40 + -3 = 37 37 + 10x = 14x + 1 Reorder the terms: 37 + 10x = 1 + 14x Solving 37 + 10x = 1 + 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. 37 + 10x + -14x = 1 + 14x + -14x Combine like terms: 10x + -14x = -4x 37 + -4x = 1 + 14x + -14x Combine like terms: 14x + -14x = 0 37 + -4x = 1 + 0 37 + -4x = 1 Add '-37' to each side of the equation. 37 + -37 + -4x = 1 + -37 Combine like terms: 37 + -37 = 0 0 + -4x = 1 + -37 -4x = 1 + -37 Combine like terms: 1 + -37 = -36 -4x = -36 Divide each side by '-4'. x = 9 Simplifying x = 9
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