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Simplifying -4x + x + 10 = 2x + -3(7x + 4) Reorder the terms: 10 + -4x + x = 2x + -3(7x + 4) Combine like terms: -4x + x = -3x 10 + -3x = 2x + -3(7x + 4) Reorder the terms: 10 + -3x = 2x + -3(4 + 7x) 10 + -3x = 2x + (4 * -3 + 7x * -3) 10 + -3x = 2x + (-12 + -21x) Reorder the terms: 10 + -3x = -12 + 2x + -21x Combine like terms: 2x + -21x = -19x 10 + -3x = -12 + -19x Solving 10 + -3x = -12 + -19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '19x' to each side of the equation. 10 + -3x + 19x = -12 + -19x + 19x Combine like terms: -3x + 19x = 16x 10 + 16x = -12 + -19x + 19x Combine like terms: -19x + 19x = 0 10 + 16x = -12 + 0 10 + 16x = -12 Add '-10' to each side of the equation. 10 + -10 + 16x = -12 + -10 Combine like terms: 10 + -10 = 0 0 + 16x = -12 + -10 16x = -12 + -10 Combine like terms: -12 + -10 = -22 16x = -22 Divide each side by '16'. x = -1.375 Simplifying x = -1.375
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