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Simplifying 4(x + -4) + -7 = 19x + -158 Reorder the terms: 4(-4 + x) + -7 = 19x + -158 (-4 * 4 + x * 4) + -7 = 19x + -158 (-16 + 4x) + -7 = 19x + -158 Reorder the terms: -16 + -7 + 4x = 19x + -158 Combine like terms: -16 + -7 = -23 -23 + 4x = 19x + -158 Reorder the terms: -23 + 4x = -158 + 19x Solving -23 + 4x = -158 + 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. -23 + 4x + -19x = -158 + 19x + -19x Combine like terms: 4x + -19x = -15x -23 + -15x = -158 + 19x + -19x Combine like terms: 19x + -19x = 0 -23 + -15x = -158 + 0 -23 + -15x = -158 Add '23' to each side of the equation. -23 + 23 + -15x = -158 + 23 Combine like terms: -23 + 23 = 0 0 + -15x = -158 + 23 -15x = -158 + 23 Combine like terms: -158 + 23 = -135 -15x = -135 Divide each side by '-15'. x = 9 Simplifying x = 9
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