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Simplifying 4(x + -3) + -14 = 16 + -7(x + 4) Reorder the terms: 4(-3 + x) + -14 = 16 + -7(x + 4) (-3 * 4 + x * 4) + -14 = 16 + -7(x + 4) (-12 + 4x) + -14 = 16 + -7(x + 4) Reorder the terms: -12 + -14 + 4x = 16 + -7(x + 4) Combine like terms: -12 + -14 = -26 -26 + 4x = 16 + -7(x + 4) Reorder the terms: -26 + 4x = 16 + -7(4 + x) -26 + 4x = 16 + (4 * -7 + x * -7) -26 + 4x = 16 + (-28 + -7x) Combine like terms: 16 + -28 = -12 -26 + 4x = -12 + -7x Solving -26 + 4x = -12 + -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. -26 + 4x + 7x = -12 + -7x + 7x Combine like terms: 4x + 7x = 11x -26 + 11x = -12 + -7x + 7x Combine like terms: -7x + 7x = 0 -26 + 11x = -12 + 0 -26 + 11x = -12 Add '26' to each side of the equation. -26 + 26 + 11x = -12 + 26 Combine like terms: -26 + 26 = 0 0 + 11x = -12 + 26 11x = -12 + 26 Combine like terms: -12 + 26 = 14 11x = 14 Divide each side by '11'. x = 1.272727273 Simplifying x = 1.272727273
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