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Simplifying -14x + 4 + -3(x + -1) = -3x + -1(13x + -3) + 3 Reorder the terms: -14x + 4 + -3(-1 + x) = -3x + -1(13x + -3) + 3 -14x + 4 + (-1 * -3 + x * -3) = -3x + -1(13x + -3) + 3 -14x + 4 + (3 + -3x) = -3x + -1(13x + -3) + 3 Reorder the terms: 4 + 3 + -14x + -3x = -3x + -1(13x + -3) + 3 Combine like terms: 4 + 3 = 7 7 + -14x + -3x = -3x + -1(13x + -3) + 3 Combine like terms: -14x + -3x = -17x 7 + -17x = -3x + -1(13x + -3) + 3 Reorder the terms: 7 + -17x = -3x + -1(-3 + 13x) + 3 7 + -17x = -3x + (-3 * -1 + 13x * -1) + 3 7 + -17x = -3x + (3 + -13x) + 3 Reorder the terms: 7 + -17x = 3 + 3 + -3x + -13x Combine like terms: 3 + 3 = 6 7 + -17x = 6 + -3x + -13x Combine like terms: -3x + -13x = -16x 7 + -17x = 6 + -16x Solving 7 + -17x = 6 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. 7 + -17x + 16x = 6 + -16x + 16x Combine like terms: -17x + 16x = -1x 7 + -1x = 6 + -16x + 16x Combine like terms: -16x + 16x = 0 7 + -1x = 6 + 0 7 + -1x = 6 Add '-7' to each side of the equation. 7 + -7 + -1x = 6 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 6 + -7 -1x = 6 + -7 Combine like terms: 6 + -7 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1
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