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Simplifying 4x + 14 = 10(x + -7) + -3x Reorder the terms: 14 + 4x = 10(x + -7) + -3x Reorder the terms: 14 + 4x = 10(-7 + x) + -3x 14 + 4x = (-7 * 10 + x * 10) + -3x 14 + 4x = (-70 + 10x) + -3x Combine like terms: 10x + -3x = 7x 14 + 4x = -70 + 7x Solving 14 + 4x = -70 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 14 + 4x + -7x = -70 + 7x + -7x Combine like terms: 4x + -7x = -3x 14 + -3x = -70 + 7x + -7x Combine like terms: 7x + -7x = 0 14 + -3x = -70 + 0 14 + -3x = -70 Add '-14' to each side of the equation. 14 + -14 + -3x = -70 + -14 Combine like terms: 14 + -14 = 0 0 + -3x = -70 + -14 -3x = -70 + -14 Combine like terms: -70 + -14 = -84 -3x = -84 Divide each side by '-3'. x = 28 Simplifying x = 28
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